10,072,638

2 × 3² × 559591

10,072,638 factors as 2 × 3^2 × 559591. Its 12 positive divisors give a proper-divisor sum of 11,751,450, so this integer is abundant. The Collatz stopping time is 145 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 559591

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 21,824,088

Proper Divisor Sum 11,751,450

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #10072627 ← → #10072639

Radix Representation

Decimal	10072638
Binary	100110011011001000111110 (24 bits)
Octal	0o46331076
Hexadecimal	0x99B23E

Divisor Catalog (12)

1 2 3 6 9 18 559,591 1,119,182 1,678,773 3,357,546 5,036,319 10,072,638

Collatz Trajectory (145 steps to reach 1)

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

10,072,638 5,036,319 15,108,958 7,554,479 22,663,438 11,331,719 33,995,158 16,997,579 50,992,738 25,496,369 76,489,108 38,244,554 19,122,277 57,366,832 28,683,416 14,341,708 7,170,854 3,585,427 10,756,282 5,378,141 16,134,424 8,067,212 4,033,606 2,016,803 6,050,410 3,025,205 9,075,616 4,537,808 2,268,904 1,134,452 567,226 283,613 850,840 425,420 212,710 106,355 319,066 159,533 478,600 239,300 119,650 59,825 179,476 89,738 44,869 134,608 67,304 33,652 16,826 8,413 25,240 12,620 6,310 3,155 9,466 4,733 14,200 7,100 3,550 1,775

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