88

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Number

$88$ (eighty-eight) is:

$2^3 \times 11$

The index of the $1$st non-integer term of the $3$-Göbel sequence.

The $3$rd primitive abundant number after $20$, $70$:

$1 + 2 + 4 + 8 + 11 + 22 + 44 = 92 > 88$

The $4$th untouchable number after $2$, $5$, $52$.

The $4$th primitive semiperfect number after $6$, $20$, $28$:

$88 = 1 + 2 + 8 + 11 + 22 + 44$

The $20$th semiperfect number after $6$, $12$, $18$, $20$, $24$, $28$, $30$, $36$, $40$, $42$, $48$, $54$, $56$, $60$, $66$, $72$, $78$, $80$, $84$

The $34$th of $35$ integers less than $91$ to which $91$ itself is a Fermat pseudoprime:

$3$, $4$, $9$, $10$, $12$, $16$, $17$, $22$, $23$, $25$, $27$, $29$, $30$, $36$, $38$, $40$, $43$, $48$, $51$, $53$, $55$, $61$, $62$, $64$, $66$, $68$, $69$, $74$, $75$, $79$, $81$, $82$, $87$, $88$, $\ldots$

A repdigit whose square is two repdigits together:

$88^2 = 7744$

Also see

• Non-Integral Value of 3-Göbel Sequence

• Previous  ... Next: Primitive Semiperfect Number
• Previous  ... Next: Untouchable Number
• Previous  ... Next: Primitive Abundant Number
• Previous  ... Next: Semiperfect Number
• Previous  ... Next: 91 is Pseudoprime to 35 Bases less than 91

Sources

• 1986: David Wells: Curious and Interesting Numbers ... (previous) ... (next): $88$
• 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $43$
• 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $88$