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Atlas › Integer Profiles › Node 25,752,486

25,752,486

2 × 3 × 19 × 223 × 1013
Abundant Even Composite

25,752,486 factors as 2 × 3 × 19 × 223 × 1013. Its 32 positive divisors give a proper-divisor sum of 28,760,154, so this integer is abundant. The Collatz stopping time is 149 steps.

Prime Factor Structure

Factorization String 2 × 3 × 19 × 223 × 1013
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 54,512,640
Proper Divisor Sum 28,760,154
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #25752473 ← → #25752487

Radix Representation

Decimal 25752486
Binary 1100010001111001110100110 (25 bits)
Octal 0o142171646
Hexadecimal 0x188F3A6

Divisor Catalog (32)

1 2 3 6 19 38 57 114 223 446 669 1,013 1,338 2,026 3,039 4,237 6,078 8,474 12,711 19,247 25,422 38,494 57,741 115,482 225,899 451,798 677,697 1,355,394 4,292,081 8,584,162 12,876,243 25,752,486

Collatz Trajectory (149 steps to reach 1)

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

25,752,486 12,876,243 38,628,730 19,314,365 57,943,096 28,971,548 14,485,774 7,242,887 21,728,662 10,864,331 32,592,994 16,296,497 48,889,492 24,444,746 12,222,373 36,667,120 18,333,560 9,166,780 4,583,390 2,291,695 6,875,086 3,437,543 10,312,630 5,156,315 15,468,946 7,734,473 23,203,420 11,601,710 5,800,855 17,402,566 8,701,283 26,103,850 13,051,925 39,155,776 19,577,888 9,788,944 4,894,472 2,447,236 1,223,618 611,809 1,835,428 917,714 458,857 1,376,572 688,286 344,143 1,032,430 516,215 1,548,646 774,323 2,322,970 1,161,485 3,484,456 1,742,228 871,114 435,557 1,306,672 653,336 326,668 163,334

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