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Atlas › Integer Profiles › Node 21,045,126

21,045,126

2 × 3 × 29 × 79 × 1531
Abundant Even Composite

21,045,126 factors as 2 × 3 × 29 × 79 × 1531. Its 32 positive divisors give a proper-divisor sum of 23,076,474, so this integer is abundant. The Collatz stopping time is 296 steps.

Prime Factor Structure

Factorization String 2 × 3 × 29 × 79 × 1531
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 44,121,600
Proper Divisor Sum 23,076,474
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #21045109 ← → #21045127

Radix Representation

Decimal 21045126
Binary 1010000010001111110000110 (25 bits)
Octal 0o120217606
Hexadecimal 0x1411F86

Divisor Catalog (32)

1 2 3 6 29 58 79 87 158 174 237 474 1,531 2,291 3,062 4,582 4,593 6,873 9,186 13,746 44,399 88,798 120,949 133,197 241,898 266,394 362,847 725,694 3,507,521 7,015,042 10,522,563 21,045,126

Collatz Trajectory (296 steps to reach 1)

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

21,045,126 10,522,563 31,567,690 15,783,845 47,351,536 23,675,768 11,837,884 5,918,942 2,959,471 8,878,414 4,439,207 13,317,622 6,658,811 19,976,434 9,988,217 29,964,652 14,982,326 7,491,163 22,473,490 11,236,745 33,710,236 16,855,118 8,427,559 25,282,678 12,641,339 37,924,018 18,962,009 56,886,028 28,443,014 14,221,507 42,664,522 21,332,261 63,996,784 31,998,392 15,999,196 7,999,598 3,999,799 11,999,398 5,999,699 17,999,098 8,999,549 26,998,648 13,499,324 6,749,662 3,374,831 10,124,494 5,062,247 15,186,742 7,593,371 22,780,114 11,390,057 34,170,172 17,085,086 8,542,543 25,627,630 12,813,815 38,441,446 19,220,723 57,662,170 28,831,085

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