25,757,977

7² × 19 × 73 × 379

25,757,977 factors as 7^2 × 19 × 73 × 379. Its 24 positive divisors give a proper-divisor sum of 6,298,823, so this integer is deficient. The Collatz stopping time is 123 steps.

Prime Factor Structure

Factorization String 7^2 × 19 × 73 × 379

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 32,056,800

Proper Divisor Sum 6,298,823

Digit Sum / Digital Root 49 (Root: 4)

Adjacent Primes #25757933 ← → #25757981

Radix Representation

Decimal	25757977
Binary	1100010010000100100011001 (25 bits)
Octal	0o142204431
Hexadecimal	0x1890919

Divisor Catalog (24)

Collatz Trajectory (123 steps to reach 1)

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

25,757,977 77,273,932 38,636,966 19,318,483 57,955,450 28,977,725 86,933,176 43,466,588 21,733,294 10,866,647 32,599,942 16,299,971 48,899,914 24,449,957 73,349,872 36,674,936 18,337,468 9,168,734 4,584,367 13,753,102 6,876,551 20,629,654 10,314,827 30,944,482 15,472,241 46,416,724 23,208,362 11,604,181 34,812,544 17,406,272 8,703,136 4,351,568 2,175,784 1,087,892 543,946 271,973 815,920 407,960 203,980 101,990 50,995 152,986 76,493 229,480 114,740 57,370 28,685 86,056 43,028 21,514 10,757 32,272 16,136 8,068 4,034 2,017 6,052 3,026 1,513 4,540

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