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Atlas › Integer Profiles › Node 21,045,136

21,045,136

24 × 7 × 41 × 4583
Abundant Even Composite

21,045,136 factors as 2^4 × 7 × 41 × 4583. Its 40 positive divisors give a proper-divisor sum of 26,701,808, so this integer is abundant. The Collatz stopping time is 146 steps.

Prime Factor Structure

Factorization String 2^4 × 7 × 41 × 4583
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 47,746,944
Proper Divisor Sum 26,701,808
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #21045127 ← → #21045137

Radix Representation

Decimal 21045136
Binary 1010000010001111110010000 (25 bits)
Octal 0o120217620
Hexadecimal 0x1411F90

Divisor Catalog (40)

1 2 4 7 8 14 16 28 41 56 82 112 164 287 328 574 656 1,148 2,296 4,583 4,592 9,166 18,332 32,081 36,664 64,162 73,328 128,324 187,903 256,648 375,806 513,296 751,612 1,315,321 1,503,224 2,630,642 3,006,448 5,261,284 10,522,568 21,045,136

Collatz Trajectory (146 steps to reach 1)

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

21,045,136 10,522,568 5,261,284 2,630,642 1,315,321 3,945,964 1,972,982 986,491 2,959,474 1,479,737 4,439,212 2,219,606 1,109,803 3,329,410 1,664,705 4,994,116 2,497,058 1,248,529 3,745,588 1,872,794 936,397 2,809,192 1,404,596 702,298 351,149 1,053,448 526,724 263,362 131,681 395,044 197,522 98,761 296,284 148,142 74,071 222,214 111,107 333,322 166,661 499,984 249,992 124,996 62,498 31,249 93,748 46,874 23,437 70,312 35,156 17,578 8,789 26,368 13,184 6,592 3,296 1,648 824 412 206 103

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