440,672

2⁵ × 47 × 293

440,672 factors as 2^5 × 47 × 293. Its 24 positive divisors give a proper-divisor sum of 448,384, so this integer is abundant. The Collatz stopping time is 63 steps.

Prime Factor Structure

Factorization String 2^5 × 47 × 293

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 889,056

Proper Divisor Sum 448,384

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #440669 ← → #440677

Radix Representation

Decimal	440672
Binary	1101011100101100000 (19 bits)
Octal	0o1534540
Hexadecimal	0x6B960

Divisor Catalog (24)

1 2 4 8 16 32 47 94 188 293 376 586 752 1,172 1,504 2,344 4,688 9,376 13,771 27,542 55,084 110,168 220,336 440,672

Collatz Trajectory (63 steps to reach 1)

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

440,672 220,336 110,168 55,084 27,542 13,771 41,314 20,657 61,972 30,986 15,493 46,480 23,240 11,620 5,810 2,905 8,716 4,358 2,179 6,538 3,269 9,808 4,904 2,452 1,226 613 1,840 920 460 230 115 346 173 520 260 130 65 196 98 49 148 74 37 112 56 28 14 7 22 11 34 17 52 26 13 40 20 10 5 16

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