10,104,786

2 × 3² × 561377

10,104,786 factors as 2 × 3^2 × 561377. Its 12 positive divisors give a proper-divisor sum of 11,788,956, so this integer is abundant. The Collatz stopping time is 132 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 561377

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 21,893,742

Proper Divisor Sum 11,788,956

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #10104779 ← → #10104803

Radix Representation

Decimal	10104786
Binary	100110100010111111010010 (24 bits)
Octal	0o46427722
Hexadecimal	0x9A2FD2

Divisor Catalog (12)

1 2 3 6 9 18 561,377 1,122,754 1,684,131 3,368,262 5,052,393 10,104,786

Collatz Trajectory (132 steps to reach 1)

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

10,104,786 5,052,393 15,157,180 7,578,590 3,789,295 11,367,886 5,683,943 17,051,830 8,525,915 25,577,746 12,788,873 38,366,620 19,183,310 9,591,655 28,774,966 14,387,483 43,162,450 21,581,225 64,743,676 32,371,838 16,185,919 48,557,758 24,278,879 72,836,638 36,418,319 109,254,958 54,627,479 163,882,438 81,941,219 245,823,658 122,911,829 368,735,488 184,367,744 92,183,872 46,091,936 23,045,968 11,522,984 5,761,492 2,880,746 1,440,373 4,321,120 2,160,560 1,080,280 540,140 270,070 135,035 405,106 202,553 607,660 303,830 151,915 455,746 227,873 683,620 341,810 170,905 512,716 256,358 128,179 384,538

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