λ
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Atlas › Integer Profiles › Node 25,751,388

25,751,388

22 × 3 × 13 × 383 × 431
Abundant Even Composite

25,751,388 factors as 2^2 × 3 × 13 × 383 × 431. Its 48 positive divisors give a proper-divisor sum of 39,276,708, so this integer is abundant. The Collatz stopping time is 229 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 13 × 383 × 431
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 65,028,096
Proper Divisor Sum 39,276,708
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #25751387 ← → #25751399

Radix Representation

Decimal 25751388
Binary 1100010001110111101011100 (25 bits)
Octal 0o142167534
Hexadecimal 0x188EF5C

Divisor Catalog (48)

1 2 3 4 6 12 13 26 39 52 78 156 383 431 766 862 1,149 1,293 1,532 1,724 2,298 2,586 4,596 4,979 5,172 5,603 9,958 11,206 14,937 16,809 19,916 22,412 29,874 33,618 59,748 67,236 165,073 330,146 495,219 660,292 990,438 1,980,876 2,145,949 4,291,898 6,437,847 8,583,796 12,875,694 25,751,388

Collatz Trajectory (229 steps to reach 1)

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

25,751,388 12,875,694 6,437,847 19,313,542 9,656,771 28,970,314 14,485,157 43,455,472 21,727,736 10,863,868 5,431,934 2,715,967 8,147,902 4,073,951 12,221,854 6,110,927 18,332,782 9,166,391 27,499,174 13,749,587 41,248,762 20,624,381 61,873,144 30,936,572 15,468,286 7,734,143 23,202,430 11,601,215 34,803,646 17,401,823 52,205,470 26,102,735 78,308,206 39,154,103 117,462,310 58,731,155 176,193,466 88,096,733 264,290,200 132,145,100 66,072,550 33,036,275 99,108,826 49,554,413 148,663,240 74,331,620 37,165,810 18,582,905 55,748,716 27,874,358 13,937,179 41,811,538 20,905,769 62,717,308 31,358,654 15,679,327 47,037,982 23,518,991 70,556,974 35,278,487

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