10,249,965

3² × 5 × 11 × 20707

10,249,965 factors as 3^2 × 5 × 11 × 20707. Its 24 positive divisors give a proper-divisor sum of 9,132,723, so this integer is deficient. The Collatz stopping time is 220 steps.

Prime Factor Structure

Factorization String 3^2 × 5 × 11 × 20707

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 19,382,688

Proper Divisor Sum 9,132,723

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #10249957 ← → #10249979

Radix Representation

Decimal	10249965
Binary	100111000110011011101101 (24 bits)
Octal	0o47063355
Hexadecimal	0x9C66ED

Divisor Catalog (24)

Collatz Trajectory (220 steps to reach 1)

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

10,249,965 30,749,896 15,374,948 7,687,474 3,843,737 11,531,212 5,765,606 2,882,803 8,648,410 4,324,205 12,972,616 6,486,308 3,243,154 1,621,577 4,864,732 2,432,366 1,216,183 3,648,550 1,824,275 5,472,826 2,736,413 8,209,240 4,104,620 2,052,310 1,026,155 3,078,466 1,539,233 4,617,700 2,308,850 1,154,425 3,463,276 1,731,638 865,819 2,597,458 1,298,729 3,896,188 1,948,094 974,047 2,922,142 1,461,071 4,383,214 2,191,607 6,574,822 3,287,411 9,862,234 4,931,117 14,793,352 7,396,676 3,698,338 1,849,169 5,547,508 2,773,754 1,386,877 4,160,632 2,080,316 1,040,158 520,079 1,560,238 780,119 2,340,358

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