10,074,320

2⁴ × 5 × 125929

10,074,320 factors as 2^4 × 5 × 125929. Its 20 positive divisors give a proper-divisor sum of 13,348,660, so this integer is abundant. The Collatz stopping time is 114 steps.

Prime Factor Structure

Factorization String 2^4 × 5 × 125929

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 23,422,980

Proper Divisor Sum 13,348,660

Digit Sum / Digital Root 17 (Root: 8)

Adjacent Primes #10074307 ← → #10074329

Radix Representation

Decimal	10074320
Binary	100110011011100011010000 (24 bits)
Octal	0o46334320
Hexadecimal	0x99B8D0

Divisor Catalog (20)

Collatz Trajectory (114 steps to reach 1)

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

10,074,320 5,037,160 2,518,580 1,259,290 629,645 1,888,936 944,468 472,234 236,117 708,352 354,176 177,088 88,544 44,272 22,136 11,068 5,534 2,767 8,302 4,151 12,454 6,227 18,682 9,341 28,024 14,012 7,006 3,503 10,510 5,255 15,766 7,883 23,650 11,825 35,476 17,738 8,869 26,608 13,304 6,652 3,326 1,663 4,990 2,495 7,486 3,743 11,230 5,615 16,846 8,423 25,270 12,635 37,906 18,953 56,860 28,430 14,215 42,646 21,323 63,970

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