739,624

2³ × 59 × 1567

739,624 factors as 2^3 × 59 × 1567. Its 16 positive divisors give a proper-divisor sum of 671,576, so this integer is deficient. The Collatz stopping time is 136 steps.

Prime Factor Structure

Factorization String 2^3 × 59 × 1567

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,411,200

Proper Divisor Sum 671,576

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #739621 ← → #739631

Radix Representation

Decimal	739624
Binary	10110100100100101000 (20 bits)
Octal	0o2644450
Hexadecimal	0xB4928

Divisor Catalog (16)

1 2 4 8 59 118 236 472 1,567 3,134 6,268 12,536 92,453 184,906 369,812 739,624

Collatz Trajectory (136 steps to reach 1)

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

739,624 369,812 184,906 92,453 277,360 138,680 69,340 34,670 17,335 52,006 26,003 78,010 39,005 117,016 58,508 29,254 14,627 43,882 21,941 65,824 32,912 16,456 8,228 4,114 2,057 6,172 3,086 1,543 4,630 2,315 6,946 3,473 10,420 5,210 2,605 7,816 3,908 1,954 977 2,932 1,466 733 2,200 1,100 550 275 826 413 1,240 620 310 155 466 233 700 350 175 526 263 790

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