27,553,552

2⁴ × 13 × 132469

27,553,552 factors as 2^4 × 13 × 132469. Its 20 positive divisors give a proper-divisor sum of 29,938,428, so this integer is abundant. The Collatz stopping time is 118 steps.

Prime Factor Structure

Factorization String 2^4 × 13 × 132469

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 57,491,980

Proper Divisor Sum 29,938,428

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #27553543 ← → #27553571

Radix Representation

Decimal	27553552
Binary	1101001000110111100010000 (25 bits)
Octal	0o151067420
Hexadecimal	0x1A46F10

Divisor Catalog (20)

Collatz Trajectory (118 steps to reach 1)

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

27,553,552 13,776,776 6,888,388 3,444,194 1,722,097 5,166,292 2,583,146 1,291,573 3,874,720 1,937,360 968,680 484,340 242,170 121,085 363,256 181,628 90,814 45,407 136,222 68,111 204,334 102,167 306,502 153,251 459,754 229,877 689,632 344,816 172,408 86,204 43,102 21,551 64,654 32,327 96,982 48,491 145,474 72,737 218,212 109,106 54,553 163,660 81,830 40,915 122,746 61,373 184,120 92,060 46,030 23,015 69,046 34,523 103,570 51,785 155,356 77,678 38,839 116,518 58,259 174,778

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