724,005

3³ × 5 × 31 × 173

724,005 factors as 3^3 × 5 × 31 × 173. Its 32 positive divisors give a proper-divisor sum of 612,315, so this integer is deficient. The Collatz stopping time is 66 steps.

Prime Factor Structure

Factorization String 3^3 × 5 × 31 × 173

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 1,336,320

Proper Divisor Sum 612,315

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #724001 ← → #724007

Radix Representation

Decimal	724005
Binary	10110000110000100101 (20 bits)
Octal	0o2606045
Hexadecimal	0xB0C25

Divisor Catalog (32)

1 3 5 9 15 27 31 45 93 135 155 173 279 465 519 837 865 1,395 1,557 2,595 4,185 4,671 5,363 7,785 16,089 23,355 26,815 48,267 80,445 144,801 241,335 724,005

Collatz Trajectory (66 steps to reach 1)

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

724,005 2,172,016 1,086,008 543,004 271,502 135,751 407,254 203,627 610,882 305,441 916,324 458,162 229,081 687,244 343,622 171,811 515,434 257,717 773,152 386,576 193,288 96,644 48,322 24,161 72,484 36,242 18,121 54,364 27,182 13,591 40,774 20,387 61,162 30,581 91,744 45,872 22,936 11,468 5,734 2,867 8,602 4,301 12,904 6,452 3,226 1,613 4,840 2,420 1,210 605 1,816 908 454 227 682 341 1,024 512 256 128

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #724,004 Browse Full Index Next Integer #724,006 →