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Atlas › Integer Profiles › Node 20,007,592

20,007,592

23 × 113 × 1879
Abundant Even Composite

20,007,592 factors as 2^3 × 11^3 × 1879. Its 32 positive divisors give a proper-divisor sum of 21,277,208, so this integer is abundant. The Collatz stopping time is 115 steps.

Prime Factor Structure

Factorization String 2^3 × 11^3 × 1879
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 41,284,800
Proper Divisor Sum 21,277,208
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #20007569 ← → #20007601

Radix Representation

Decimal 20007592
Binary 1001100010100101010101000 (25 bits)
Octal 0o114245250
Hexadecimal 0x1314AA8

Divisor Catalog (32)

1 2 4 8 11 22 44 88 121 242 484 968 1,331 1,879 2,662 3,758 5,324 7,516 10,648 15,032 20,669 41,338 82,676 165,352 227,359 454,718 909,436 1,818,872 2,500,949 5,001,898 10,003,796 20,007,592

Collatz Trajectory (115 steps to reach 1)

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

20,007,592 10,003,796 5,001,898 2,500,949 7,502,848 3,751,424 1,875,712 937,856 468,928 234,464 117,232 58,616 29,308 14,654 7,327 21,982 10,991 32,974 16,487 49,462 24,731 74,194 37,097 111,292 55,646 27,823 83,470 41,735 125,206 62,603 187,810 93,905 281,716 140,858 70,429 211,288 105,644 52,822 26,411 79,234 39,617 118,852 59,426 29,713 89,140 44,570 22,285 66,856 33,428 16,714 8,357 25,072 12,536 6,268 3,134 1,567 4,702 2,351 7,054 3,527

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