344,832

2⁸ × 3 × 449

344,832 factors as 2^8 × 3 × 449. Its 36 positive divisors give a proper-divisor sum of 574,968, so this integer is abundant. The Collatz stopping time is 73 steps.

Prime Factor Structure

Factorization String 2^8 × 3 × 449

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 919,800

Proper Divisor Sum 574,968

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #344821 ← → #344843

Radix Representation

Decimal	344832
Binary	1010100001100000000 (19 bits)
Octal	0o1241400
Hexadecimal	0x54300

Divisor Catalog (36)

1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 449 768 898 1,347 1,796 2,694 3,592 5,388 7,184 10,776 14,368 21,552 28,736 43,104 57,472 86,208 114,944 172,416 344,832

Collatz Trajectory (73 steps to reach 1)

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

344,832 172,416 86,208 43,104 21,552 10,776 5,388 2,694 1,347 4,042 2,021 6,064 3,032 1,516 758 379 1,138 569 1,708 854 427 1,282 641 1,924 962 481 1,444 722 361 1,084 542 271 814 407 1,222 611 1,834 917 2,752 1,376 688 344 172 86 43 130 65 196 98 49 148 74 37 112 56 28 14 7 22 11

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