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Atlas › Integer Profiles › Node 21,372,015

21,372,015

3 × 5 × 7 × 89 × 2287
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 5 × 7 × 89 × 2287
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 39,536,640
Proper Divisor Sum 18,164,625
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #21372011 ← → #21372019

Radix Representation

Decimal 21372015
Binary 1010001100001110001101111 (25 bits)
Octal 0o121416157
Hexadecimal 0x1461C6F

Divisor Catalog (32)

1 3 5 7 15 21 35 89 105 267 445 623 1,335 1,869 2,287 3,115 6,861 9,345 11,435 16,009 34,305 48,027 80,045 203,543 240,135 610,629 1,017,715 1,424,801 3,053,145 4,274,403 7,124,005 21,372,015

Collatz Trajectory (120 steps to reach 1)

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

21,372,015 64,116,046 32,058,023 96,174,070 48,087,035 144,261,106 72,130,553 216,391,660 108,195,830 54,097,915 162,293,746 81,146,873 243,440,620 121,720,310 60,860,155 182,580,466 91,290,233 273,870,700 136,935,350 68,467,675 205,403,026 102,701,513 308,104,540 154,052,270 77,026,135 231,078,406 115,539,203 346,617,610 173,308,805 519,926,416 259,963,208 129,981,604 64,990,802 32,495,401 97,486,204 48,743,102 24,371,551 73,114,654 36,557,327 109,671,982 54,835,991 164,507,974 82,253,987 246,761,962 123,380,981 370,142,944 185,071,472 92,535,736 46,267,868 23,133,934 11,566,967 34,700,902 17,350,451 52,051,354 26,025,677 78,077,032 39,038,516 19,519,258 9,759,629 29,278,888

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