704,729

19 × 29 × 1279

For 704,729, the 8 positive divisors have a total of 768,000. Removing 704,729 leaves 63,271, which gives the deficient classification.

Prime Factor Structure

Factorization String 19 × 29 × 1279

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 768,000

Proper Divisor Sum 63,271

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #704719 ← → #704731

Radix Representation

Decimal	704729
Binary	10101100000011011001 (20 bits)
Octal	0o2540331
Hexadecimal	0xAC0D9

Divisor Catalog (8)

1 19 29 551 1,279 24,301 37,091 704,729

Collatz Trajectory (105 steps to reach 1)

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

704,729 2,114,188 1,057,094 528,547 1,585,642 792,821 2,378,464 1,189,232 594,616 297,308 148,654 74,327 222,982 111,491 334,474 167,237 501,712 250,856 125,428 62,714 31,357 94,072 47,036 23,518 11,759 35,278 17,639 52,918 26,459 79,378 39,689 119,068 59,534 29,767 89,302 44,651 133,954 66,977 200,932 100,466 50,233 150,700 75,350 37,675 113,026 56,513 169,540 84,770 42,385 127,156 63,578 31,789 95,368 47,684 23,842 11,921 35,764 17,882 8,941 26,824

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