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Atlas › Integer Profiles › Node 24,004,106

24,004,106

2 × 7 × 19 × 31 × 41 × 71
Deficient Even Composite

24,004,106 factors as 2 × 7 × 19 × 31 × 41 × 71. Its 64 positive divisors give a proper-divisor sum of 22,444,534, so this integer is deficient. The Collatz stopping time is 92 steps.

Prime Factor Structure

Factorization String 2 × 7 × 19 × 31 × 41 × 71
Distinct Prime Factors 6
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 46,448,640
Proper Divisor Sum 22,444,534
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #24004093 ← → #24004109

Radix Representation

Decimal 24004106
Binary 1011011100100011000001010 (25 bits)
Octal 0o133443012
Hexadecimal 0x16E460A

Divisor Catalog (60 of 64)

1 2 7 14 19 31 38 41 62 71 82 133 142 217 266 287 434 497 574 589 779 994 1,178 1,271 1,349 1,558 2,201 2,542 2,698 2,911 4,123 4,402 5,453 5,822 8,246 8,897 9,443 10,906 15,407 17,794 18,886 20,377 24,149 30,814 40,754 41,819 48,298 55,309 83,638 90,241 110,618 169,043 180,482 292,733 338,086 387,163 585,466 631,687 774,326 1,263,374

Collatz Trajectory (92 steps to reach 1)

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

24,004,106 12,002,053 36,006,160 18,003,080 9,001,540 4,500,770 2,250,385 6,751,156 3,375,578 1,687,789 5,063,368 2,531,684 1,265,842 632,921 1,898,764 949,382 474,691 1,424,074 712,037 2,136,112 1,068,056 534,028 267,014 133,507 400,522 200,261 600,784 300,392 150,196 75,098 37,549 112,648 56,324 28,162 14,081 42,244 21,122 10,561 31,684 15,842 7,921 23,764 11,882 5,941 17,824 8,912 4,456 2,228 1,114 557 1,672 836 418 209 628 314 157 472 236 118

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