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Atlas › Integer Profiles › Node 21,043,204

21,043,204

22 × 7 × 132 × 4447
Abundant Even Composite

21,043,204 factors as 2^2 × 7 × 13^2 × 4447. Its 36 positive divisors give a proper-divisor sum of 24,539,900, so this integer is abundant. The Collatz stopping time is 151 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 13^2 × 4447
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 45,583,104
Proper Divisor Sum 24,539,900
Digit Sum / Digital Root 16 (Root: 7)
Adjacent Primes #21043177 ← → #21043207

Radix Representation

Decimal 21043204
Binary 1010000010001100000000100 (25 bits)
Octal 0o120214004
Hexadecimal 0x1411804

Divisor Catalog (36)

1 2 4 7 13 14 26 28 52 91 169 182 338 364 676 1,183 2,366 4,447 4,732 8,894 17,788 31,129 57,811 62,258 115,622 124,516 231,244 404,677 751,543 809,354 1,503,086 1,618,708 3,006,172 5,260,801 10,521,602 21,043,204

Collatz Trajectory (151 steps to reach 1)

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

21,043,204 10,521,602 5,260,801 15,782,404 7,891,202 3,945,601 11,836,804 5,918,402 2,959,201 8,877,604 4,438,802 2,219,401 6,658,204 3,329,102 1,664,551 4,993,654 2,496,827 7,490,482 3,745,241 11,235,724 5,617,862 2,808,931 8,426,794 4,213,397 12,640,192 6,320,096 3,160,048 1,580,024 790,012 395,006 197,503 592,510 296,255 888,766 444,383 1,333,150 666,575 1,999,726 999,863 2,999,590 1,499,795 4,499,386 2,249,693 6,749,080 3,374,540 1,687,270 843,635 2,530,906 1,265,453 3,796,360 1,898,180 949,090 474,545 1,423,636 711,818 355,909 1,067,728 533,864 266,932 133,466

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