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Atlas › Integer Profiles › Node 20,004,712

20,004,712

23 × 7 × 13 × 27479
Abundant Even Composite

20,004,712 factors as 2^3 × 7 × 13 × 27479. Its 32 positive divisors give a proper-divisor sum of 26,161,688, so this integer is abundant. The Collatz stopping time is 177 steps.

Prime Factor Structure

Factorization String 2^3 × 7 × 13 × 27479
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 46,166,400
Proper Divisor Sum 26,161,688
Digit Sum / Digital Root 16 (Root: 7)
Adjacent Primes #20004709 ← → #20004713

Radix Representation

Decimal 20004712
Binary 1001100010011111101101000 (25 bits)
Octal 0o114237550
Hexadecimal 0x1313F68

Divisor Catalog (32)

1 2 4 7 8 13 14 26 28 52 56 91 104 182 364 728 27,479 54,958 109,916 192,353 219,832 357,227 384,706 714,454 769,412 1,428,908 1,538,824 2,500,589 2,857,816 5,001,178 10,002,356 20,004,712

Collatz Trajectory (177 steps to reach 1)

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

20,004,712 10,002,356 5,001,178 2,500,589 7,501,768 3,750,884 1,875,442 937,721 2,813,164 1,406,582 703,291 2,109,874 1,054,937 3,164,812 1,582,406 791,203 2,373,610 1,186,805 3,560,416 1,780,208 890,104 445,052 222,526 111,263 333,790 166,895 500,686 250,343 751,030 375,515 1,126,546 563,273 1,689,820 844,910 422,455 1,267,366 633,683 1,901,050 950,525 2,851,576 1,425,788 712,894 356,447 1,069,342 534,671 1,604,014 802,007 2,406,022 1,203,011 3,609,034 1,804,517 5,413,552 2,706,776 1,353,388 676,694 338,347 1,015,042 507,521 1,522,564 761,282

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