λ
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Atlas › Integer Profiles › Node 25,319,476

25,319,476

22 × 72 × 13 × 19 × 523
Abundant Even Composite

25,319,476 factors as 2^2 × 7^2 × 13 × 19 × 523. Its 72 positive divisors give a proper-divisor sum of 33,221,804, so this integer is abundant. The Collatz stopping time is 105 steps.

Prime Factor Structure

Factorization String 2^2 × 7^2 × 13 × 19 × 523
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 58,541,280
Proper Divisor Sum 33,221,804
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #25319473 ← → #25319513

Radix Representation

Decimal 25319476
Binary 1100000100101100000110100 (25 bits)
Octal 0o140454064
Hexadecimal 0x1825834

Divisor Catalog (60 of 72)

1 2 4 7 13 14 19 26 28 38 49 52 76 91 98 133 182 196 247 266 364 494 523 532 637 931 988 1,046 1,274 1,729 1,862 2,092 2,548 3,458 3,661 3,724 6,799 6,916 7,322 9,937 12,103 13,598 14,644 19,874 24,206 25,627 27,196 39,748 47,593 48,412 51,254 69,559 95,186 102,508 129,181 139,118 190,372 258,362 278,236 333,151

Collatz Trajectory (105 steps to reach 1)

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

25,319,476 12,659,738 6,329,869 18,989,608 9,494,804 4,747,402 2,373,701 7,121,104 3,560,552 1,780,276 890,138 445,069 1,335,208 667,604 333,802 166,901 500,704 250,352 125,176 62,588 31,294 15,647 46,942 23,471 70,414 35,207 105,622 52,811 158,434 79,217 237,652 118,826 59,413 178,240 89,120 44,560 22,280 11,140 5,570 2,785 8,356 4,178 2,089 6,268 3,134 1,567 4,702 2,351 7,054 3,527 10,582 5,291 15,874 7,937 23,812 11,906 5,953 17,860 8,930 4,465

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