721,335

3 × 5 × 19 × 2531

721,335 factors as 3 × 5 × 19 × 2531. Its 16 positive divisors give a proper-divisor sum of 494,025, so this integer is deficient. The Collatz stopping time is 123 steps.

Prime Factor Structure

Factorization String 3 × 5 × 19 × 2531

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,215,360

Proper Divisor Sum 494,025

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #721333 ← → #721337

Radix Representation

Decimal	721335
Binary	10110000000110110111 (20 bits)
Octal	0o2600667
Hexadecimal	0xB01B7

Divisor Catalog (16)

1 3 5 15 19 57 95 285 2,531 7,593 12,655 37,965 48,089 144,267 240,445 721,335

Collatz Trajectory (123 steps to reach 1)

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

721,335 2,164,006 1,082,003 3,246,010 1,623,005 4,869,016 2,434,508 1,217,254 608,627 1,825,882 912,941 2,738,824 1,369,412 684,706 342,353 1,027,060 513,530 256,765 770,296 385,148 192,574 96,287 288,862 144,431 433,294 216,647 649,942 324,971 974,914 487,457 1,462,372 731,186 365,593 1,096,780 548,390 274,195 822,586 411,293 1,233,880 616,940 308,470 154,235 462,706 231,353 694,060 347,030 173,515 520,546 260,273 780,820 390,410 195,205 585,616 292,808 146,404 73,202 36,601 109,804 54,902 27,451

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