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Atlas › Integer Profiles › Node 42,579,008

42,579,008

26 × 37 × 17981
Abundant Even Composite

42,579,008 factors as 2^6 × 37 × 17981. Its 28 positive divisors give a proper-divisor sum of 44,202,124, so this integer is abundant. The Collatz stopping time is 129 steps.

Prime Factor Structure

Factorization String 2^6 × 37 × 17981
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 28
Divisor Sum (σ) 86,781,132
Proper Divisor Sum 44,202,124
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #42579007 ← → #42579041

Radix Representation

Decimal 42579008
Binary 10100010011011010001000000 (26 bits)
Octal 0o242332100
Hexadecimal 0x289B440

Divisor Catalog (28)

1 2 4 8 16 32 37 64 74 148 296 592 1,184 2,368 17,981 35,962 71,924 143,848 287,696 575,392 665,297 1,150,784 1,330,594 2,661,188 5,322,376 10,644,752 21,289,504 42,579,008

Collatz Trajectory (129 steps to reach 1)

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

42,579,008 21,289,504 10,644,752 5,322,376 2,661,188 1,330,594 665,297 1,995,892 997,946 498,973 1,496,920 748,460 374,230 187,115 561,346 280,673 842,020 421,010 210,505 631,516 315,758 157,879 473,638 236,819 710,458 355,229 1,065,688 532,844 266,422 133,211 399,634 199,817 599,452 299,726 149,863 449,590 224,795 674,386 337,193 1,011,580 505,790 252,895 758,686 379,343 1,138,030 569,015 1,707,046 853,523 2,560,570 1,280,285 3,840,856 1,920,428 960,214 480,107 1,440,322 720,161 2,160,484 1,080,242 540,121 1,620,364

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