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Atlas › Integer Profiles › Node 20,727,104

20,727,104

26 × 37 × 8753
Abundant Even Composite

20,727,104 factors as 2^6 × 37 × 8753. Its 28 positive divisors give a proper-divisor sum of 21,519,700, so this integer is abundant. The Collatz stopping time is 84 steps.

Prime Factor Structure

Factorization String 2^6 × 37 × 8753
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 28
Divisor Sum (σ) 42,246,804
Proper Divisor Sum 21,519,700
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #20727103 ← → #20727137

Radix Representation

Decimal 20727104
Binary 1001111000100010101000000 (25 bits)
Octal 0o117042500
Hexadecimal 0x13C4540

Divisor Catalog (28)

1 2 4 8 16 32 37 64 74 148 296 592 1,184 2,368 8,753 17,506 35,012 70,024 140,048 280,096 323,861 560,192 647,722 1,295,444 2,590,888 5,181,776 10,363,552 20,727,104

Collatz Trajectory (84 steps to reach 1)

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

20,727,104 10,363,552 5,181,776 2,590,888 1,295,444 647,722 323,861 971,584 485,792 242,896 121,448 60,724 30,362 15,181 45,544 22,772 11,386 5,693 17,080 8,540 4,270 2,135 6,406 3,203 9,610 4,805 14,416 7,208 3,604 1,802 901 2,704 1,352 676 338 169 508 254 127 382 191 574 287 862 431 1,294 647 1,942 971 2,914 1,457 4,372 2,186 1,093 3,280 1,640 820 410 205 616

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