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Atlas › Integer Profiles › Node 25,754,778

25,754,778

2 × 32 × 7 × 47 × 4349
Abundant Even Composite

25,754,778 factors as 2 × 3^2 × 7 × 47 × 4349. Its 48 positive divisors give a proper-divisor sum of 39,390,822, so this integer is abundant. The Collatz stopping time is 136 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 7 × 47 × 4349
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 65,145,600
Proper Divisor Sum 39,390,822
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #25754777 ← → #25754791

Radix Representation

Decimal 25754778
Binary 1100010001111110010011010 (25 bits)
Octal 0o142176232
Hexadecimal 0x188FC9A

Divisor Catalog (48)

1 2 3 6 7 9 14 18 21 42 47 63 94 126 141 282 329 423 658 846 987 1,974 2,961 4,349 5,922 8,698 13,047 26,094 30,443 39,141 60,886 78,282 91,329 182,658 204,403 273,987 408,806 547,974 613,209 1,226,418 1,430,821 1,839,627 2,861,642 3,679,254 4,292,463 8,584,926 12,877,389 25,754,778

Collatz Trajectory (136 steps to reach 1)

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

25,754,778 12,877,389 38,632,168 19,316,084 9,658,042 4,829,021 14,487,064 7,243,532 3,621,766 1,810,883 5,432,650 2,716,325 8,148,976 4,074,488 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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