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Atlas › Integer Profiles › Node 20,721,568

20,721,568

25 × 7 × 92507
Abundant Even Composite

20,721,568 factors as 2^5 × 7 × 92507. Its 24 positive divisors give a proper-divisor sum of 25,902,464, so this integer is abundant. The Collatz stopping time is 221 steps.

Prime Factor Structure

Factorization String 2^5 × 7 × 92507
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 46,624,032
Proper Divisor Sum 25,902,464
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #20721553 ← → #20721583

Radix Representation

Decimal 20721568
Binary 1001111000010111110100000 (25 bits)
Octal 0o117027640
Hexadecimal 0x13C2FA0

Divisor Catalog (24)

1 2 4 7 8 14 16 28 32 56 112 224 92,507 185,014 370,028 647,549 740,056 1,295,098 1,480,112 2,590,196 2,960,224 5,180,392 10,360,784 20,721,568

Collatz Trajectory (221 steps to reach 1)

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

20,721,568 10,360,784 5,180,392 2,590,196 1,295,098 647,549 1,942,648 971,324 485,662 242,831 728,494 364,247 1,092,742 546,371 1,639,114 819,557 2,458,672 1,229,336 614,668 307,334 153,667 461,002 230,501 691,504 345,752 172,876 86,438 43,219 129,658 64,829 194,488 97,244 48,622 24,311 72,934 36,467 109,402 54,701 164,104 82,052 41,026 20,513 61,540 30,770 15,385 46,156 23,078 11,539 34,618 17,309 51,928 25,964 12,982 6,491 19,474 9,737 29,212 14,606 7,303 21,910

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