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Atlas › Integer Profiles › Node 2,040,976

2,040,976

24 × 7 × 18223
Abundant Even Composite

2,040,976 factors as 2^4 × 7 × 18223. Its 20 positive divisors give a proper-divisor sum of 2,478,576, so this integer is abundant. The Collatz stopping time is 122 steps.

Prime Factor Structure

Factorization String 2^4 × 7 × 18223
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 4,519,552
Proper Divisor Sum 2,478,576
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #2040971 ← → #2040989

Radix Representation

Decimal 2040976
Binary 111110010010010010000 (21 bits)
Octal 0o7622220
Hexadecimal 0x1F2490

Divisor Catalog (20)

1 2 4 7 8 14 16 28 56 112 18,223 36,446 72,892 127,561 145,784 255,122 291,568 510,244 1,020,488 2,040,976

Collatz Trajectory (122 steps to reach 1)

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

2,040,976 1,020,488 510,244 255,122 127,561 382,684 191,342 95,671 287,014 143,507 430,522 215,261 645,784 322,892 161,446 80,723 242,170 121,085 363,256 181,628 90,814 45,407 136,222 68,111 204,334 102,167 306,502 153,251 459,754 229,877 689,632 344,816 172,408 86,204 43,102 21,551 64,654 32,327 96,982 48,491 145,474 72,737 218,212 109,106 54,553 163,660 81,830 40,915 122,746 61,373 184,120 92,060 46,030 23,015 69,046 34,523 103,570 51,785 155,356 77,678

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