707,343

3 × 7 × 13 × 2591

For 707,343, the 16 positive divisors have a total of 1,161,216. Removing 707,343 leaves 453,873, which gives the deficient classification.

Prime Factor Structure

Factorization String 3 × 7 × 13 × 2591

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,161,216

Proper Divisor Sum 453,873

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #707341 ← → #707359

Radix Representation

Decimal	707343
Binary	10101100101100001111 (20 bits)
Octal	0o2545417
Hexadecimal	0xACB0F

Divisor Catalog (16)

1 3 7 13 21 39 91 273 2,591 7,773 18,137 33,683 54,411 101,049 235,781 707,343

Collatz Trajectory (123 steps to reach 1)

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

707,343 2,122,030 1,061,015 3,183,046 1,591,523 4,774,570 2,387,285 7,161,856 3,580,928 1,790,464 895,232 447,616 223,808 111,904 55,952 27,976 13,988 6,994 3,497 10,492 5,246 2,623 7,870 3,935 11,806 5,903 17,710 8,855 26,566 13,283 39,850 19,925 59,776 29,888 14,944 7,472 3,736 1,868 934 467 1,402 701 2,104 1,052 526 263 790 395 1,186 593 1,780 890 445 1,336 668 334 167 502 251 754

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