735,089

41 × 17929

735,089 factors as 41 × 17929. Its 4 positive divisors give a proper-divisor sum of 17,971, so this integer is deficient. The Collatz stopping time is 74 steps.

Prime Factor Structure

Factorization String 41 × 17929

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 753,060

Proper Divisor Sum 17,971

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #735083 ← → #735107

Radix Representation

Decimal	735089
Binary	10110011011101110001 (20 bits)
Octal	0o2633561
Hexadecimal	0xB3771

Divisor Catalog (4)

1 41 17,929 735,089

Collatz Trajectory (74 steps to reach 1)

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

735,089 2,205,268 1,102,634 551,317 1,653,952 826,976 413,488 206,744 103,372 51,686 25,843 77,530 38,765 116,296 58,148 29,074 14,537 43,612 21,806 10,903 32,710 16,355 49,066 24,533 73,600 36,800 18,400 9,200 4,600 2,300 1,150 575 1,726 863 2,590 1,295 3,886 1,943 5,830 2,915 8,746 4,373 13,120 6,560 3,280 1,640 820 410 205 616 308 154 77 232 116 58 29 88 44 22

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