λ
Ratio Atlas
Atlas › Integer Profiles › Node 764,532

764,532

22 × 33 × 7079
Abundant Even Composite

764,532 factors as 2^2 × 3^3 × 7079. Its 24 positive divisors give a proper-divisor sum of 1,217,868, so this integer is abundant. The Collatz stopping time is 79 steps.

Prime Factor Structure

Factorization String 2^2 × 3^3 × 7079
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 1,982,400
Proper Divisor Sum 1,217,868
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #764521 ← → #764539

Radix Representation

Decimal 764532
Binary 10111010101001110100 (20 bits)
Octal 0o2725164
Hexadecimal 0xBAA74

Divisor Catalog (24)

1 2 3 4 6 9 12 18 27 36 54 108 7,079 14,158 21,237 28,316 42,474 63,711 84,948 127,422 191,133 254,844 382,266 764,532

Collatz Trajectory (79 steps to reach 1)

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

764,532 382,266 191,133 573,400 286,700 143,350 71,675 215,026 107,513 322,540 161,270 80,635 241,906 120,953 362,860 181,430 90,715 272,146 136,073 408,220 204,110 102,055 306,166 153,083 459,250 229,625 688,876 344,438 172,219 516,658 258,329 774,988 387,494 193,747 581,242 290,621 871,864 435,932 217,966 108,983 326,950 163,475 490,426 245,213 735,640 367,820 183,910 91,955 275,866 137,933 413,800 206,900 103,450 51,725 155,176 77,588 38,794 19,397 58,192 29,096

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #764,531 Browse Full Index Next Integer #764,533 →