10,072,488

2³ × 3 × 419687

10,072,488 factors as 2^3 × 3 × 419687. Its 16 positive divisors give a proper-divisor sum of 15,108,792, so this integer is abundant. The Collatz stopping time is 114 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 419687

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 25,181,280

Proper Divisor Sum 15,108,792

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #10072487 ← → #10072501

Radix Representation

Decimal	10072488
Binary	100110011011000110101000 (24 bits)
Octal	0o46330650
Hexadecimal	0x99B1A8

Divisor Catalog (16)

1 2 3 4 6 8 12 24 419,687 839,374 1,259,061 1,678,748 2,518,122 3,357,496 5,036,244 10,072,488

Collatz Trajectory (114 steps to reach 1)

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

10,072,488 5,036,244 2,518,122 1,259,061 3,777,184 1,888,592 944,296 472,148 236,074 118,037 354,112 177,056 88,528 44,264 22,132 11,066 5,533 16,600 8,300 4,150 2,075 6,226 3,113 9,340 4,670 2,335 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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