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Atlas › Integer Profiles › Node 25,758,512

25,758,512

24 × 13 × 37 × 3347
Abundant Even Composite

25,758,512 factors as 2^4 × 13 × 37 × 3347. Its 40 positive divisors give a proper-divisor sum of 29,456,704, so this integer is abundant. The Collatz stopping time is 167 steps.

Prime Factor Structure

Factorization String 2^4 × 13 × 37 × 3347
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 55,215,216
Proper Divisor Sum 29,456,704
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #25758511 ← → #25758517

Radix Representation

Decimal 25758512
Binary 1100010010000101100110000 (25 bits)
Octal 0o142205460
Hexadecimal 0x1890B30

Divisor Catalog (40)

1 2 4 8 13 16 26 37 52 74 104 148 208 296 481 592 962 1,924 3,347 3,848 6,694 7,696 13,388 26,776 43,511 53,552 87,022 123,839 174,044 247,678 348,088 495,356 696,176 990,712 1,609,907 1,981,424 3,219,814 6,439,628 12,879,256 25,758,512

Collatz Trajectory (167 steps to reach 1)

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

25,758,512 12,879,256 6,439,628 3,219,814 1,609,907 4,829,722 2,414,861 7,244,584 3,622,292 1,811,146 905,573 2,716,720 1,358,360 679,180 339,590 169,795 509,386 254,693 764,080 382,040 191,020 95,510 47,755 143,266 71,633 214,900 107,450 53,725 161,176 80,588 40,294 20,147 60,442 30,221 90,664 45,332 22,666 11,333 34,000 17,000 8,500 4,250 2,125 6,376 3,188 1,594 797 2,392 1,196 598 299 898 449 1,348 674 337 1,012 506 253 760

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