42,081,007

23 × 1829609

42,081,007 factors as 23 × 1829609. Its 4 positive divisors give a proper-divisor sum of 1,829,633, so this integer is deficient. The Collatz stopping time is 152 steps.

Prime Factor Structure

Factorization String 23 × 1829609

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 43,910,640

Proper Divisor Sum 1,829,633

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #42080977 ← → #42081019

Radix Representation

Decimal	42081007
Binary	10100000100001101011101111 (26 bits)
Octal	0o240415357
Hexadecimal	0x2821AEF

Divisor Catalog (4)

1 23 1,829,609 42,081,007

Collatz Trajectory (152 steps to reach 1)

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

42,081,007 126,243,022 63,121,511 189,364,534 94,682,267 284,046,802 142,023,401 426,070,204 213,035,102 106,517,551 319,552,654 159,776,327 479,328,982 239,664,491 718,993,474 359,496,737 1,078,490,212 539,245,106 269,622,553 808,867,660 404,433,830 202,216,915 606,650,746 303,325,373 909,976,120 454,988,060 227,494,030 113,747,015 341,241,046 170,620,523 511,861,570 255,930,785 767,792,356 383,896,178 191,948,089 575,844,268 287,922,134 143,961,067 431,883,202 215,941,601 647,824,804 323,912,402 161,956,201 485,868,604 242,934,302 121,467,151 364,401,454 182,200,727 546,602,182 273,301,091 819,903,274 409,951,637 1,229,854,912 614,927,456 307,463,728 153,731,864 76,865,932 38,432,966 19,216,483 57,649,450

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