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Atlas › Integer Profiles › Node 45,420,736

45,420,736

26 × 17 × 109 × 383
Abundant Even Composite

45,420,736 factors as 2^6 × 17 × 109 × 383. Its 56 positive divisors give a proper-divisor sum of 51,139,904, so this integer is abundant. The Collatz stopping time is 217 steps.

Prime Factor Structure

Factorization String 2^6 × 17 × 109 × 383
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 56
Divisor Sum (σ) 96,560,640
Proper Divisor Sum 51,139,904
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #45420733 ← → #45420769

Radix Representation

Decimal 45420736
Binary 10101101010001000011000000 (26 bits)
Octal 0o255210300
Hexadecimal 0x2B510C0

Divisor Catalog (56)

1 2 4 8 16 17 32 34 64 68 109 136 218 272 383 436 544 766 872 1,088 1,532 1,744 1,853 3,064 3,488 3,706 6,128 6,511 6,976 7,412 12,256 13,022 14,824 24,512 26,044 29,648 41,747 52,088 59,296 83,494 104,176 118,592 166,988 208,352 333,976 416,704 667,952 709,699 1,335,904 1,419,398 2,671,808 2,838,796 5,677,592 11,355,184 22,710,368 45,420,736

Collatz Trajectory (217 steps to reach 1)

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

45,420,736 22,710,368 11,355,184 5,677,592 2,838,796 1,419,398 709,699 2,129,098 1,064,549 3,193,648 1,596,824 798,412 399,206 199,603 598,810 299,405 898,216 449,108 224,554 112,277 336,832 168,416 84,208 42,104 21,052 10,526 5,263 15,790 7,895 23,686 11,843 35,530 17,765 53,296 26,648 13,324 6,662 3,331 9,994 4,997 14,992 7,496 3,748 1,874 937 2,812 1,406 703 2,110 1,055 3,166 1,583 4,750 2,375 7,126 3,563 10,690 5,345 16,036 8,018

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