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Atlas › Integer Profiles › Node 25,001,028

25,001,028

22 × 33 × 13 × 17807
Abundant Even Composite

25,001,028 factors as 2^2 × 3^3 × 13 × 17807. Its 48 positive divisors give a proper-divisor sum of 44,806,332, so this integer is abundant. The Collatz stopping time is 105 steps.

Prime Factor Structure

Factorization String 2^2 × 3^3 × 13 × 17807
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 69,807,360
Proper Divisor Sum 44,806,332
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #25000991 ← → #25001029

Radix Representation

Decimal 25001028
Binary 1011111010111110001000100 (25 bits)
Octal 0o137276104
Hexadecimal 0x17D7C44

Divisor Catalog (48)

1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 234 351 468 702 1,404 17,807 35,614 53,421 71,228 106,842 160,263 213,684 231,491 320,526 462,982 480,789 641,052 694,473 925,964 961,578 1,388,946 1,923,156 2,083,419 2,777,892 4,166,838 6,250,257 8,333,676 12,500,514 25,001,028

Collatz Trajectory (105 steps to reach 1)

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

25,001,028 12,500,514 6,250,257 18,750,772 9,375,386 4,687,693 14,063,080 7,031,540 3,515,770 1,757,885 5,273,656 2,636,828 1,318,414 659,207 1,977,622 988,811 2,966,434 1,483,217 4,449,652 2,224,826 1,112,413 3,337,240 1,668,620 834,310 417,155 1,251,466 625,733 1,877,200 938,600 469,300 234,650 117,325 351,976 175,988 87,994 43,997 131,992 65,996 32,998 16,499 49,498 24,749 74,248 37,124 18,562 9,281 27,844 13,922 6,961 20,884 10,442 5,221 15,664 7,832 3,916 1,958 979 2,938 1,469 4,408

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