25,755,567

3 × 29 × 296041

25,755,567 factors as 3 × 29 × 296041. Its 8 positive divisors give a proper-divisor sum of 9,769,473, so this integer is deficient. The Collatz stopping time is 123 steps.

Prime Factor Structure

Factorization String 3 × 29 × 296041

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 35,525,040

Proper Divisor Sum 9,769,473

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #25755563 ← → #25755571

Radix Representation

Decimal	25755567
Binary	1100010001111111110101111 (25 bits)
Octal	0o142177657
Hexadecimal	0x188FFAF

Divisor Catalog (8)

1 3 29 87 296,041 888,123 8,585,189 25,755,567

Collatz Trajectory (123 steps to reach 1)

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

25,755,567 77,266,702 38,633,351 115,900,054 57,950,027 173,850,082 86,925,041 260,775,124 130,387,562 65,193,781 195,581,344 97,790,672 48,895,336 24,447,668 12,223,834 6,111,917 18,335,752 9,167,876 4,583,938 2,291,969 6,875,908 3,437,954 1,718,977 5,156,932 2,578,466 1,289,233 3,867,700 1,933,850 966,925 2,900,776 1,450,388 725,194 362,597 1,087,792 543,896 271,948 135,974 67,987 203,962 101,981 305,944 152,972 76,486 38,243 114,730 57,365 172,096 86,048 43,024 21,512 10,756 5,378 2,689 8,068 4,034 2,017 6,052 3,026 1,513 4,540

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