27,677,518

2 × 11 × 461 × 2729

27,677,518 factors as 2 × 11 × 461 × 2729. Its 16 positive divisors give a proper-divisor sum of 17,727,842, so this integer is deficient. The Collatz stopping time is 255 steps.

Prime Factor Structure

Factorization String 2 × 11 × 461 × 2729

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 45,405,360

Proper Divisor Sum 17,727,842

Digit Sum / Digital Root 43 (Root: 7)

Adjacent Primes #27677497 ← → #27677537

Radix Representation

Decimal	27677518
Binary	1101001100101001101001110 (25 bits)
Octal	0o151451516
Hexadecimal	0x1A6534E

Divisor Catalog (16)

1 2 11 22 461 922 2,729 5,071 5,458 10,142 30,019 60,038 1,258,069 2,516,138 13,838,759 27,677,518

Collatz Trajectory (255 steps to reach 1)

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

27,677,518 13,838,759 41,516,278 20,758,139 62,274,418 31,137,209 93,411,628 46,705,814 23,352,907 70,058,722 35,029,361 105,088,084 52,544,042 26,272,021 78,816,064 39,408,032 19,704,016 9,852,008 4,926,004 2,463,002 1,231,501 3,694,504 1,847,252 923,626 461,813 1,385,440 692,720 346,360 173,180 86,590 43,295 129,886 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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