88,640

2⁶ × 5 × 277

88,640 is even and not a perfect square. Its factorization is 2^6 × 5 × 277 and its 28 divisors sum to 211,836.

Prime Factor Structure

Factorization String 2^6 × 5 × 277

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 28

Divisor Sum (σ) 211,836

Proper Divisor Sum 123,196

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #88609 ← → #88643

Radix Representation

Decimal	88640
Binary	10101101001000000 (17 bits)
Octal	0o255100
Hexadecimal	0x15A40

Divisor Catalog (28)

1 2 4 5 8 10 16 20 32 40 64 80 160 277 320 554 1,108 1,385 2,216 2,770 4,432 5,540 8,864 11,080 17,728 22,160 44,320 88,640

Collatz Trajectory (71 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

88,640 44,320 22,160 11,080 5,540 2,770 1,385 4,156 2,078 1,039 3,118 1,559 4,678 2,339 7,018 3,509 10,528 5,264 2,632 1,316 658 329 988 494 247 742 371 1,114 557 1,672 836 418 209 628 314 157 472 236 118 59 178 89 268 134 67 202 101 304 152 76 38 19 58 29 88 44 22 11 34 17

← Previous Integer #88,639 Browse Full Index Next Integer #88,641 →