λ
Sigma Notebook

9,112,380

22 × 3 × 5 × 29 × 5237
Abundant Even Composite

9,112,380 is even and not a perfect square. Its factorization is 2^2 × 3 × 5 × 29 × 5237 and its 48 divisors sum to 26,399,520.

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 29 × 5237
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 26,399,520
Proper Divisor Sum 17,287,140
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #9112361 ← → #9112387

Radix Representation

Decimal 9112380
Binary 100010110000101100111100 (24 bits)
Octal 0o42605474
Hexadecimal 0x8B0B3C

Divisor Catalog (48)

1 2 3 4 5 6 10 12 15 20 29 30 58 60 87 116 145 174 290 348 435 580 870 1,740 5,237 10,474 15,711 20,948 26,185 31,422 52,370 62,844 78,555 104,740 151,873 157,110 303,746 314,220 455,619 607,492 759,365 911,238 1,518,730 1,822,476 2,278,095 3,037,460 4,556,190 9,112,380

Collatz Trajectory (119 steps to reach 1)

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

9,112,380 4,556,190 2,278,095 6,834,286 3,417,143 10,251,430 5,125,715 15,377,146 7,688,573 23,065,720 11,532,860 5,766,430 2,883,215 8,649,646 4,324,823 12,974,470 6,487,235 19,461,706 9,730,853 29,192,560 14,596,280 7,298,140 3,649,070 1,824,535 5,473,606 2,736,803 8,210,410 4,105,205 12,315,616 6,157,808 3,078,904 1,539,452 769,726 384,863 1,154,590 577,295 1,731,886 865,943 2,597,830 1,298,915 3,896,746 1,948,373 5,845,120 2,922,560 1,461,280 730,640 365,320 182,660 91,330 45,665 136,996 68,498 34,249 102,748 51,374 25,687 77,062 38,531 115,594 57,797

More profiles

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