721,735

5 × 7 × 17 × 1213

721,735 factors as 5 × 7 × 17 × 1213. Its 16 positive divisors give a proper-divisor sum of 327,161, so this integer is deficient. The Collatz stopping time is 180 steps.

Prime Factor Structure

Factorization String 5 × 7 × 17 × 1213

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,048,896

Proper Divisor Sum 327,161

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #721733 ← → #721739

Radix Representation

Decimal	721735
Binary	10110000001101000111 (20 bits)
Octal	0o2601507
Hexadecimal	0xB0347

Divisor Catalog (16)

1 5 7 17 35 85 119 595 1,213 6,065 8,491 20,621 42,455 103,105 144,347 721,735

Collatz Trajectory (180 steps to reach 1)

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

721,735 2,165,206 1,082,603 3,247,810 1,623,905 4,871,716 2,435,858 1,217,929 3,653,788 1,826,894 913,447 2,740,342 1,370,171 4,110,514 2,055,257 6,165,772 3,082,886 1,541,443 4,624,330 2,312,165 6,936,496 3,468,248 1,734,124 867,062 433,531 1,300,594 650,297 1,950,892 975,446 487,723 1,463,170 731,585 2,194,756 1,097,378 548,689 1,646,068 823,034 411,517 1,234,552 617,276 308,638 154,319 462,958 231,479 694,438 347,219 1,041,658 520,829 1,562,488 781,244 390,622 195,311 585,934 292,967 878,902 439,451 1,318,354 659,177 1,977,532 988,766

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