λ
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Atlas › Integer Profiles › Node 25,757,790

25,757,790

2 × 3 × 5 × 109 × 7877
Abundant Even Composite

25,757,790 factors as 2 × 3 × 5 × 109 × 7877. Its 32 positive divisors give a proper-divisor sum of 36,635,970, so this integer is abundant. The Collatz stopping time is 154 steps.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 109 × 7877
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 62,393,760
Proper Divisor Sum 36,635,970
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #25757777 ← → #25757791

Radix Representation

Decimal 25757790
Binary 1100010010000100001011110 (25 bits)
Octal 0o142204136
Hexadecimal 0x189085E

Divisor Catalog (32)

1 2 3 5 6 10 15 30 109 218 327 545 654 1,090 1,635 3,270 7,877 15,754 23,631 39,385 47,262 78,770 118,155 236,310 858,593 1,717,186 2,575,779 4,292,965 5,151,558 8,585,930 12,878,895 25,757,790

Collatz Trajectory (154 steps to reach 1)

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

25,757,790 12,878,895 38,636,686 19,318,343 57,955,030 28,977,515 86,932,546 43,466,273 130,398,820 65,199,410 32,599,705 97,799,116 48,899,558 24,449,779 73,349,338 36,674,669 110,024,008 55,012,004 27,506,002 13,753,001 41,259,004 20,629,502 10,314,751 30,944,254 15,472,127 46,416,382 23,208,191 69,624,574 34,812,287 104,436,862 52,218,431 156,655,294 78,327,647 234,982,942 117,491,471 352,474,414 176,237,207 528,711,622 264,355,811 793,067,434 396,533,717 1,189,601,152 594,800,576 297,400,288 148,700,144 74,350,072 37,175,036 18,587,518 9,293,759 27,881,278 13,940,639 41,821,918 20,910,959 62,732,878 31,366,439 94,099,318 47,049,659 141,148,978 70,574,489 211,723,468

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