27,396,160

2⁶ × 5 × 11 × 43 × 181

27,396,160 factors as 2^6 × 5 × 11 × 43 × 181. Its 112 positive divisors give a proper-divisor sum of 45,828,992, so this integer is abundant. The Collatz stopping time is 224 steps.

Prime Factor Structure

Factorization String 2^6 × 5 × 11 × 43 × 181

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 112

Divisor Sum (σ) 73,225,152

Proper Divisor Sum 45,828,992

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #27396139 ← → #27396179

Radix Representation

Decimal	27396160
Binary	1101000100000100001000000 (25 bits)
Octal	0o150404100
Hexadecimal	0x1A20840

Divisor Catalog (60 of 112)

1 2 4 5 8 10 11 16 20 22 32 40 43 44 55 64 80 86 88 110 160 172 176 181 215 220 320 344 352 362 430 440 473 688 704 724 860 880 905 946 1,376 1,448 1,720 1,760 1,810 1,892 1,991 2,365 2,752 2,896 3,440 3,520 3,620 3,784 3,982 4,730 5,792 6,880 7,240 7,568

Collatz Trajectory (224 steps to reach 1)

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

27,396,160 13,698,080 6,849,040 3,424,520 1,712,260 856,130 428,065 1,284,196 642,098 321,049 963,148 481,574 240,787 722,362 361,181 1,083,544 541,772 270,886 135,443 406,330 203,165 609,496 304,748 152,374 76,187 228,562 114,281 342,844 171,422 85,711 257,134 128,567 385,702 192,851 578,554 289,277 867,832 433,916 216,958 108,479 325,438 162,719 488,158 244,079 732,238 366,119 1,098,358 549,179 1,647,538 823,769 2,471,308 1,235,654 617,827 1,853,482 926,741 2,780,224 1,390,112 695,056 347,528 173,764

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