27,677,751

3 × 17 × 173 × 3137

27,677,751 factors as 3 × 17 × 173 × 3137. Its 16 positive divisors give a proper-divisor sum of 11,635,113, so this integer is deficient. The Collatz stopping time is 255 steps.

Prime Factor Structure

Factorization String 3 × 17 × 173 × 3137

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 39,312,864

Proper Divisor Sum 11,635,113

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #27677723 ← → #27677753

Radix Representation

Decimal	27677751
Binary	1101001100101010000110111 (25 bits)
Octal	0o151452067
Hexadecimal	0x1A65437

Divisor Catalog (16)

1 3 17 51 173 519 2,941 3,137 8,823 9,411 53,329 159,987 542,701 1,628,103 9,225,917 27,677,751

Collatz Trajectory (255 steps to reach 1)

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

27,677,751 83,033,254 41,516,627 124,549,882 62,274,941 186,824,824 93,412,412 46,706,206 23,353,103 70,059,310 35,029,655 105,088,966 52,544,483 157,633,450 78,816,725 236,450,176 118,225,088 59,112,544 29,556,272 14,778,136 7,389,068 3,694,534 1,847,267 5,541,802 2,770,901 8,312,704 4,156,352 2,078,176 1,039,088 519,544 259,772 129,886 64,943 194,830 97,415 292,246 146,123 438,370 219,185 657,556 328,778 164,389 493,168 246,584 123,292 61,646 30,823 92,470 46,235 138,706 69,353 208,060 104,030 52,015 156,046 78,023 234,070 117,035 351,106 175,553

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