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Atlas › Integer Profiles › Node 43,720,424

43,720,424

23 × 11 × 23 × 21601
Abundant Even Composite

43,720,424 factors as 2^3 × 11 × 23 × 21601. Its 32 positive divisors give a proper-divisor sum of 49,600,216, so this integer is abundant. The Collatz stopping time is 235 steps.

Prime Factor Structure

Factorization String 2^3 × 11 × 23 × 21601
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 93,320,640
Proper Divisor Sum 49,600,216
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #43720423 ← → #43720459

Radix Representation

Decimal 43720424
Binary 10100110110001111011101000 (26 bits)
Octal 0o246617350
Hexadecimal 0x29B1EE8

Divisor Catalog (32)

1 2 4 8 11 22 23 44 46 88 92 184 253 506 1,012 2,024 21,601 43,202 86,404 172,808 237,611 475,222 496,823 950,444 993,646 1,900,888 1,987,292 3,974,584 5,465,053 10,930,106 21,860,212 43,720,424

Collatz Trajectory (235 steps to reach 1)

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

43,720,424 21,860,212 10,930,106 5,465,053 16,395,160 8,197,580 4,098,790 2,049,395 6,148,186 3,074,093 9,222,280 4,611,140 2,305,570 1,152,785 3,458,356 1,729,178 864,589 2,593,768 1,296,884 648,442 324,221 972,664 486,332 243,166 121,583 364,750 182,375 547,126 273,563 820,690 410,345 1,231,036 615,518 307,759 923,278 461,639 1,384,918 692,459 2,077,378 1,038,689 3,116,068 1,558,034 779,017 2,337,052 1,168,526 584,263 1,752,790 876,395 2,629,186 1,314,593 3,943,780 1,971,890 985,945 2,957,836 1,478,918 739,459 2,218,378 1,109,189 3,327,568 1,663,784

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