27,686,525

5² × 47 × 23563

27,686,525 factors as 5^2 × 47 × 23563. Its 12 positive divisors give a proper-divisor sum of 7,376,707, so this integer is deficient. The Collatz stopping time is 211 steps.

Prime Factor Structure

Factorization String 5^2 × 47 × 23563

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 35,063,232

Proper Divisor Sum 7,376,707

Digit Sum / Digital Root 41 (Root: 5)

Adjacent Primes #27686507 ← → #27686537

Radix Representation

Decimal	27686525
Binary	1101001100111011001111101 (25 bits)
Octal	0o151473175
Hexadecimal	0x1A6767D

Divisor Catalog (12)

1 5 25 47 235 1,175 23,563 117,815 589,075 1,107,461 5,537,305 27,686,525

Collatz Trajectory (211 steps to reach 1)

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

27,686,525 83,059,576 41,529,788 20,764,894 10,382,447 31,147,342 15,573,671 46,721,014 23,360,507 70,081,522 35,040,761 105,122,284 52,561,142 26,280,571 78,841,714 39,420,857 118,262,572 59,131,286 29,565,643 88,696,930 44,348,465 133,045,396 66,522,698 33,261,349 99,784,048 49,892,024 24,946,012 12,473,006 6,236,503 18,709,510 9,354,755 28,064,266 14,032,133 42,096,400 21,048,200 10,524,100 5,262,050 2,631,025 7,893,076 3,946,538 1,973,269 5,919,808 2,959,904 1,479,952 739,976 369,988 184,994 92,497 277,492 138,746 69,373 208,120 104,060 52,030 26,015 78,046 39,023 117,070 58,535 175,606

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