10,261,984

2⁵ × 320687

10,261,984 factors as 2^5 × 320687. Its 12 positive divisors give a proper-divisor sum of 9,941,360, so this integer is deficient. The Collatz stopping time is 220 steps.

Prime Factor Structure

Factorization String 2^5 × 320687

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 20,203,344

Proper Divisor Sum 9,941,360

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #10261973 ← → #10262009

Radix Representation

Decimal	10261984
Binary	100111001001010111100000 (24 bits)
Octal	0o47112740
Hexadecimal	0x9C95E0

Divisor Catalog (12)

1 2 4 8 16 32 320,687 641,374 1,282,748 2,565,496 5,130,992 10,261,984

Collatz Trajectory (220 steps to reach 1)

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

10,261,984 5,130,992 2,565,496 1,282,748 641,374 320,687 962,062 481,031 1,443,094 721,547 2,164,642 1,082,321 3,246,964 1,623,482 811,741 2,435,224 1,217,612 608,806 304,403 913,210 456,605 1,369,816 684,908 342,454 171,227 513,682 256,841 770,524 385,262 192,631 577,894 288,947 866,842 433,421 1,300,264 650,132 325,066 162,533 487,600 243,800 121,900 60,950 30,475 91,426 45,713 137,140 68,570 34,285 102,856 51,428 25,714 12,857 38,572 19,286 9,643 28,930 14,465 43,396 21,698 10,849

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