734,041

7 × 11 × 9533

734,041 factors as 7 × 11 × 9533. Its 8 positive divisors give a proper-divisor sum of 181,223, so this integer is deficient. The Collatz stopping time is 74 steps.

Prime Factor Structure

Factorization String 7 × 11 × 9533

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 915,264

Proper Divisor Sum 181,223

Digit Sum / Digital Root 19 (Root: 1)

Adjacent Primes #734021 ← → #734047

Radix Representation

Decimal	734041
Binary	10110011001101011001 (20 bits)
Octal	0o2631531
Hexadecimal	0xB3359

Divisor Catalog (8)

1 7 11 77 9,533 66,731 104,863 734,041

Collatz Trajectory (74 steps to reach 1)

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

734,041 2,202,124 1,101,062 550,531 1,651,594 825,797 2,477,392 1,238,696 619,348 309,674 154,837 464,512 232,256 116,128 58,064 29,032 14,516 7,258 3,629 10,888 5,444 2,722 1,361 4,084 2,042 1,021 3,064 1,532 766 383 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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