27,590,884

2² × 71 × 97151

27,590,884 factors as 2^2 × 71 × 97151. Its 12 positive divisors give a proper-divisor sum of 21,373,724, so this integer is deficient. The Collatz stopping time is 149 steps.

Prime Factor Structure

Factorization String 2^2 × 71 × 97151

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 48,964,608

Proper Divisor Sum 21,373,724

Digit Sum / Digital Root 43 (Root: 7)

Adjacent Primes #27590867 ← → #27590887

Radix Representation

Decimal	27590884
Binary	1101001010000000011100100 (25 bits)
Octal	0o151200344
Hexadecimal	0x1A500E4

Divisor Catalog (12)

1 2 4 71 142 284 97,151 194,302 388,604 6,897,721 13,795,442 27,590,884

Collatz Trajectory (149 steps to reach 1)

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

27,590,884 13,795,442 6,897,721 20,693,164 10,346,582 5,173,291 15,519,874 7,759,937 23,279,812 11,639,906 5,819,953 17,459,860 8,729,930 4,364,965 13,094,896 6,547,448 3,273,724 1,636,862 818,431 2,455,294 1,227,647 3,682,942 1,841,471 5,524,414 2,762,207 8,286,622 4,143,311 12,429,934 6,214,967 18,644,902 9,322,451 27,967,354 13,983,677 41,951,032 20,975,516 10,487,758 5,243,879 15,731,638 7,865,819 23,597,458 11,798,729 35,396,188 17,698,094 8,849,047 26,547,142 13,273,571 39,820,714 19,910,357 59,731,072 29,865,536 14,932,768 7,466,384 3,733,192 1,866,596 933,298 466,649 1,399,948 699,974 349,987 1,049,962

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