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Atlas › Integer Profiles › Node 20,007,416

20,007,416

23 × 11 × 13 × 17489
Abundant Even Composite

20,007,416 factors as 2^3 × 11 × 13 × 17489. Its 32 positive divisors give a proper-divisor sum of 24,067,384, so this integer is abundant. The Collatz stopping time is 177 steps.

Prime Factor Structure

Factorization String 2^3 × 11 × 13 × 17489
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 44,074,800
Proper Divisor Sum 24,067,384
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #20007409 ← → #20007457

Radix Representation

Decimal 20007416
Binary 1001100010100100111111000 (25 bits)
Octal 0o114244770
Hexadecimal 0x13149F8

Divisor Catalog (32)

1 2 4 8 11 13 22 26 44 52 88 104 143 286 572 1,144 17,489 34,978 69,956 139,912 192,379 227,357 384,758 454,714 769,516 909,428 1,539,032 1,818,856 2,500,927 5,001,854 10,003,708 20,007,416

Collatz Trajectory (177 steps to reach 1)

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

20,007,416 10,003,708 5,001,854 2,500,927 7,502,782 3,751,391 11,254,174 5,627,087 16,881,262 8,440,631 25,321,894 12,660,947 37,982,842 18,991,421 56,974,264 28,487,132 14,243,566 7,121,783 21,365,350 10,682,675 32,048,026 16,024,013 48,072,040 24,036,020 12,018,010 6,009,005 18,027,016 9,013,508 4,506,754 2,253,377 6,760,132 3,380,066 1,690,033 5,070,100 2,535,050 1,267,525 3,802,576 1,901,288 950,644 475,322 237,661 712,984 356,492 178,246 89,123 267,370 133,685 401,056 200,528 100,264 50,132 25,066 12,533 37,600 18,800 9,400 4,700 2,350 1,175 3,526

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