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Atlas › Integer Profiles › Node 21,958,024

21,958,024

23 × 11 × 47 × 5309
Abundant Even Composite

21,958,024 factors as 2^3 × 11 × 47 × 5309. Its 32 positive divisors give a proper-divisor sum of 23,920,376, so this integer is abundant. The Collatz stopping time is 203 steps.

Prime Factor Structure

Factorization String 2^3 × 11 × 47 × 5309
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 45,878,400
Proper Divisor Sum 23,920,376
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #21958021 ← → #21958037

Radix Representation

Decimal 21958024
Binary 1010011110000110110001000 (25 bits)
Octal 0o123606610
Hexadecimal 0x14F0D88

Divisor Catalog (32)

1 2 4 8 11 22 44 47 88 94 188 376 517 1,034 2,068 4,136 5,309 10,618 21,236 42,472 58,399 116,798 233,596 249,523 467,192 499,046 998,092 1,996,184 2,744,753 5,489,506 10,979,012 21,958,024

Collatz Trajectory (203 steps to reach 1)

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

21,958,024 10,979,012 5,489,506 2,744,753 8,234,260 4,117,130 2,058,565 6,175,696 3,087,848 1,543,924 771,962 385,981 1,157,944 578,972 289,486 144,743 434,230 217,115 651,346 325,673 977,020 488,510 244,255 732,766 366,383 1,099,150 549,575 1,648,726 824,363 2,473,090 1,236,545 3,709,636 1,854,818 927,409 2,782,228 1,391,114 695,557 2,086,672 1,043,336 521,668 260,834 130,417 391,252 195,626 97,813 293,440 146,720 73,360 36,680 18,340 9,170 4,585 13,756 6,878 3,439 10,318 5,159 15,478 7,739 23,218

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