724,964

2² × 19 × 9539

724,964 factors as 2^2 × 19 × 9539. Its 12 positive divisors give a proper-divisor sum of 610,636, so this integer is deficient. The Collatz stopping time is 118 steps.

Prime Factor Structure

Factorization String 2^2 × 19 × 9539

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 1,335,600

Proper Divisor Sum 610,636

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #724961 ← → #724967

Radix Representation

Decimal	724964
Binary	10110000111111100100 (20 bits)
Octal	0o2607744
Hexadecimal	0xB0FE4

Divisor Catalog (12)

1 2 4 19 38 76 9,539 19,078 38,156 181,241 362,482 724,964

Collatz Trajectory (118 steps to reach 1)

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

724,964 362,482 181,241 543,724 271,862 135,931 407,794 203,897 611,692 305,846 152,923 458,770 229,385 688,156 344,078 172,039 516,118 258,059 774,178 387,089 1,161,268 580,634 290,317 870,952 435,476 217,738 108,869 326,608 163,304 81,652 40,826 20,413 61,240 30,620 15,310 7,655 22,966 11,483 34,450 17,225 51,676 25,838 12,919 38,758 19,379 58,138 29,069 87,208 43,604 21,802 10,901 32,704 16,352 8,176 4,088 2,044 1,022 511 1,534 767

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #724,963 Browse Full Index Next Integer #724,965 →