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Atlas › Integer Profiles › Node 36,918,800

36,918,800

24 × 52 × 92297
Abundant Even Composite

36,918,800 factors as 2^4 × 5^2 × 92297. Its 30 positive divisors give a proper-divisor sum of 51,779,578, so this integer is abundant. The Collatz stopping time is 183 steps.

Prime Factor Structure

Factorization String 2^4 × 5^2 × 92297
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 30
Divisor Sum (σ) 88,698,378
Proper Divisor Sum 51,779,578
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #36918779 ← → #36918803

Radix Representation

Decimal 36918800
Binary 10001100110101011000010000 (26 bits)
Octal 0o214653020
Hexadecimal 0x2335610

Divisor Catalog (30)

1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 92,297 184,594 369,188 461,485 738,376 922,970 1,476,752 1,845,940 2,307,425 3,691,880 4,614,850 7,383,760 9,229,700 18,459,400 36,918,800

Collatz Trajectory (183 steps to reach 1)

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

36,918,800 18,459,400 9,229,700 4,614,850 2,307,425 6,922,276 3,461,138 1,730,569 5,191,708 2,595,854 1,297,927 3,893,782 1,946,891 5,840,674 2,920,337 8,761,012 4,380,506 2,190,253 6,570,760 3,285,380 1,642,690 821,345 2,464,036 1,232,018 616,009 1,848,028 924,014 462,007 1,386,022 693,011 2,079,034 1,039,517 3,118,552 1,559,276 779,638 389,819 1,169,458 584,729 1,754,188 877,094 438,547 1,315,642 657,821 1,973,464 986,732 493,366 246,683 740,050 370,025 1,110,076 555,038 277,519 832,558 416,279 1,248,838 624,419 1,873,258 936,629 2,809,888 1,404,944

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