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Atlas › Integer Profiles › Node 21,250,816

21,250,816

28 × 17 × 19 × 257
Abundant Even Composite

21,250,816 factors as 2^8 × 17 × 19 × 257. Its 72 positive divisors give a proper-divisor sum of 26,210,864, so this integer is abundant. The Collatz stopping time is 97 steps.

Prime Factor Structure

Factorization String 2^8 × 17 × 19 × 257
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 47,461,680
Proper Divisor Sum 26,210,864
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #21250813 ← → #21250819

Radix Representation

Decimal 21250816
Binary 1010001000100001100000000 (25 bits)
Octal 0o121041400
Hexadecimal 0x1444300

Divisor Catalog (60 of 72)

1 2 4 8 16 17 19 32 34 38 64 68 76 128 136 152 256 257 272 304 323 514 544 608 646 1,028 1,088 1,216 1,292 2,056 2,176 2,432 2,584 4,112 4,352 4,369 4,864 4,883 5,168 8,224 8,738 9,766 10,336 16,448 17,476 19,532 20,672 32,896 34,952 39,064 41,344 65,792 69,904 78,128 82,688 83,011 139,808 156,256 166,022 279,616

Collatz Trajectory (97 steps to reach 1)

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

21,250,816 10,625,408 5,312,704 2,656,352 1,328,176 664,088 332,044 166,022 83,011 249,034 124,517 373,552 186,776 93,388 46,694 23,347 70,042 35,021 105,064 52,532 26,266 13,133 39,400 19,700 9,850 4,925 14,776 7,388 3,694 1,847 5,542 2,771 8,314 4,157 12,472 6,236 3,118 1,559 4,678 2,339 7,018 3,509 10,528 5,264 2,632 1,316 658 329 988 494 247 742 371 1,114 557 1,672 836 418 209 628

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