10,440,520

2³ × 5 × 261013

10,440,520 factors as 2^3 × 5 × 261013. Its 16 positive divisors give a proper-divisor sum of 13,050,740, so this integer is abundant. The Collatz stopping time is 189 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 261013

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 23,491,260

Proper Divisor Sum 13,050,740

Digit Sum / Digital Root 16 (Root: 7)

Adjacent Primes #10440517 ← → #10440539

Radix Representation

Decimal	10440520
Binary	100111110100111101001000 (24 bits)
Octal	0o47647510
Hexadecimal	0x9F4F48

Divisor Catalog (16)

1 2 4 5 8 10 20 40 261,013 522,026 1,044,052 1,305,065 2,088,104 2,610,130 5,220,260 10,440,520

Collatz Trajectory (189 steps to reach 1)

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

10,440,520 5,220,260 2,610,130 1,305,065 3,915,196 1,957,598 978,799 2,936,398 1,468,199 4,404,598 2,202,299 6,606,898 3,303,449 9,910,348 4,955,174 2,477,587 7,432,762 3,716,381 11,149,144 5,574,572 2,787,286 1,393,643 4,180,930 2,090,465 6,271,396 3,135,698 1,567,849 4,703,548 2,351,774 1,175,887 3,527,662 1,763,831 5,291,494 2,645,747 7,937,242 3,968,621 11,905,864 5,952,932 2,976,466 1,488,233 4,464,700 2,232,350 1,116,175 3,348,526 1,674,263 5,022,790 2,511,395 7,534,186 3,767,093 11,301,280 5,650,640 2,825,320 1,412,660 706,330 353,165 1,059,496 529,748 264,874 132,437 397,312

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