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Atlas › Integer Profiles › Node 21,610,336

21,610,336

25 × 11 × 292 × 73
Abundant Even Composite

21,610,336 factors as 2^5 × 11 × 29^2 × 73. Its 72 positive divisors give a proper-divisor sum of 27,116,888, so this integer is abundant. The Collatz stopping time is 97 steps.

Prime Factor Structure

Factorization String 2^5 × 11 × 29^2 × 73
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 48,727,224
Proper Divisor Sum 27,116,888
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #21610319 ← → #21610361

Radix Representation

Decimal 21610336
Binary 1010010011011111101100000 (25 bits)
Octal 0o122337540
Hexadecimal 0x149BF60

Divisor Catalog (60 of 72)

1 2 4 8 11 16 22 29 32 44 58 73 88 116 146 176 232 292 319 352 464 584 638 803 841 928 1,168 1,276 1,606 1,682 2,117 2,336 2,552 3,212 3,364 4,234 5,104 6,424 6,728 8,468 9,251 10,208 12,848 13,456 16,936 18,502 23,287 25,696 26,912 33,872 37,004 46,574 61,393 67,744 74,008 93,148 122,786 148,016 186,296 245,572

Collatz Trajectory (97 steps to reach 1)

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

21,610,336 10,805,168 5,402,584 2,701,292 1,350,646 675,323 2,025,970 1,012,985 3,038,956 1,519,478 759,739 2,279,218 1,139,609 3,418,828 1,709,414 854,707 2,564,122 1,282,061 3,846,184 1,923,092 961,546 480,773 1,442,320 721,160 360,580 180,290 90,145 270,436 135,218 67,609 202,828 101,414 50,707 152,122 76,061 228,184 114,092 57,046 28,523 85,570 42,785 128,356 64,178 32,089 96,268 48,134 24,067 72,202 36,101 108,304 54,152 27,076 13,538 6,769 20,308 10,154 5,077 15,232 7,616 3,808

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