12,372,600

2³ × 3 × 5² × 17 × 1213

12,372,600 factors as 2^3 × 3 × 5^2 × 17 × 1213. Its 96 positive divisors give a proper-divisor sum of 28,272,120, so this integer is abundant. The Collatz stopping time is 104 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 5^2 × 17 × 1213

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 40,644,720

Proper Divisor Sum 28,272,120

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #12372599 ← → #12372637

Radix Representation

Decimal	12372600
Binary	101111001100101001111000 (24 bits)
Octal	0o57145170
Hexadecimal	0xBCCA78

Divisor Catalog (60 of 96)

1 2 3 4 5 6 8 10 12 15 17 20 24 25 30 34 40 50 51 60 68 75 85 100 102 120 136 150 170 200 204 255 300 340 408 425 510 600 680 850 1,020 1,213 1,275 1,700 2,040 2,426 2,550 3,400 3,639 4,852 5,100 6,065 7,278 9,704 10,200 12,130 14,556 18,195 20,621 24,260

Collatz Trajectory (104 steps to reach 1)

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

12,372,600 6,186,300 3,093,150 1,546,575 4,639,726 2,319,863 6,959,590 3,479,795 10,439,386 5,219,693 15,659,080 7,829,540 3,914,770 1,957,385 5,872,156 2,936,078 1,468,039 4,404,118 2,202,059 6,606,178 3,303,089 9,909,268 4,954,634 2,477,317 7,431,952 3,715,976 1,857,988 928,994 464,497 1,393,492 696,746 348,373 1,045,120 522,560 261,280 130,640 65,320 32,660 16,330 8,165 24,496 12,248 6,124 3,062 1,531 4,594 2,297 6,892 3,446 1,723 5,170 2,585 7,756 3,878 1,939 5,818 2,909 8,728 4,364 2,182

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