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Atlas › Integer Profiles › Node 10,072,634

10,072,634

2 × 11 × 13 × 41 × 859
Deficient Even Composite

10,072,634 factors as 2 × 11 × 13 × 41 × 859. Its 32 positive divisors give a proper-divisor sum of 8,131,846, so this integer is deficient. The Collatz stopping time is 114 steps.

Prime Factor Structure

Factorization String 2 × 11 × 13 × 41 × 859
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 18,204,480
Proper Divisor Sum 8,131,846
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #10072627 ← → #10072639

Radix Representation

Decimal 10072634
Binary 100110011011001000111010 (24 bits)
Octal 0o46331072
Hexadecimal 0x99B23A

Divisor Catalog (32)

1 2 11 13 22 26 41 82 143 286 451 533 859 902 1,066 1,718 5,863 9,449 11,167 11,726 18,898 22,334 35,219 70,438 122,837 245,674 387,409 457,847 774,818 915,694 5,036,317 10,072,634

Collatz Trajectory (114 steps to reach 1)

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

10,072,634 5,036,317 15,108,952 7,554,476 3,777,238 1,888,619 5,665,858 2,832,929 8,498,788 4,249,394 2,124,697 6,374,092 3,187,046 1,593,523 4,780,570 2,390,285 7,170,856 3,585,428 1,792,714 896,357 2,689,072 1,344,536 672,268 336,134 168,067 504,202 252,101 756,304 378,152 189,076 94,538 47,269 141,808 70,904 35,452 17,726 8,863 26,590 13,295 39,886 19,943 59,830 29,915 89,746 44,873 134,620 67,310 33,655 100,966 50,483 151,450 75,725 227,176 113,588 56,794 28,397 85,192 42,596 21,298 10,649

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