25,754,775

3 × 5² × 37 × 9281

25,754,775 factors as 3 × 5^2 × 37 × 9281. Its 24 positive divisors give a proper-divisor sum of 17,982,009, so this integer is deficient. The Collatz stopping time is 136 steps.

Prime Factor Structure

Factorization String 3 × 5^2 × 37 × 9281

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 43,736,784

Proper Divisor Sum 17,982,009

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #25754759 ← → #25754777

Radix Representation

Decimal	25754775
Binary	1100010001111110010010111 (25 bits)
Octal	0o142176227
Hexadecimal	0x188FC97

Divisor Catalog (24)

Collatz Trajectory (136 steps to reach 1)

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

25,754,775 77,264,326 38,632,163 115,896,490 57,948,245 173,844,736 86,922,368 43,461,184 21,730,592 10,865,296 5,432,648 2,716,324 1,358,162 679,081 2,037,244 1,018,622 509,311 1,527,934 763,967 2,291,902 1,145,951 3,437,854 1,718,927 5,156,782 2,578,391 7,735,174 3,867,587 11,602,762 5,801,381 17,404,144 8,702,072 4,351,036 2,175,518 1,087,759 3,263,278 1,631,639 4,894,918 2,447,459 7,342,378 3,671,189 11,013,568 5,506,784 2,753,392 1,376,696 688,348 344,174 172,087 516,262 258,131 774,394 387,197 1,161,592 580,796 290,398 145,199 435,598 217,799 653,398 326,699 980,098

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