10,001,826

2 × 3³ × 23 × 8053

10,001,826 factors as 2 × 3^3 × 23 × 8053. Its 32 positive divisors give a proper-divisor sum of 13,193,694, so this integer is abundant. The Collatz stopping time is 114 steps.

Prime Factor Structure

Factorization String 2 × 3^3 × 23 × 8053

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 23,195,520

Proper Divisor Sum 13,193,694

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #10001821 ← → #10001833

Radix Representation

Decimal	10001826
Binary	100110001001110110100010 (24 bits)
Octal	0o46116642
Hexadecimal	0x989DA2

Divisor Catalog (32)

Collatz Trajectory (114 steps to reach 1)

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

10,001,826 5,000,913 15,002,740 7,501,370 3,750,685 11,252,056 5,626,028 2,813,014 1,406,507 4,219,522 2,109,761 6,329,284 3,164,642 1,582,321 4,746,964 2,373,482 1,186,741 3,560,224 1,780,112 890,056 445,028 222,514 111,257 333,772 166,886 83,443 250,330 125,165 375,496 187,748 93,874 46,937 140,812 70,406 35,203 105,610 52,805 158,416 79,208 39,604 19,802 9,901 29,704 14,852 7,426 3,713 11,140 5,570 2,785 8,356 4,178 2,089 6,268 3,134 1,567 4,702 2,351 7,054 3,527 10,582

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