766,478

2 × 179 × 2141

766,478 factors as 2 × 179 × 2141. Its 8 positive divisors give a proper-divisor sum of 390,202, so this integer is deficient. The Collatz stopping time is 224 steps.

Prime Factor Structure

Factorization String 2 × 179 × 2141

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 1,156,680

Proper Divisor Sum 390,202

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #766477 ← → #766487

Radix Representation

Decimal	766478
Binary	10111011001000001110 (20 bits)
Octal	0o2731016
Hexadecimal	0xBB20E

Divisor Catalog (8)

1 2 179 358 2,141 4,282 383,239 766,478

Collatz Trajectory (224 steps to reach 1)

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

766,478 383,239 1,149,718 574,859 1,724,578 862,289 2,586,868 1,293,434 646,717 1,940,152 970,076 485,038 242,519 727,558 363,779 1,091,338 545,669 1,637,008 818,504 409,252 204,626 102,313 306,940 153,470 76,735 230,206 115,103 345,310 172,655 517,966 258,983 776,950 388,475 1,165,426 582,713 1,748,140 874,070 437,035 1,311,106 655,553 1,966,660 983,330 491,665 1,474,996 737,498 368,749 1,106,248 553,124 276,562 138,281 414,844 207,422 103,711 311,134 155,567 466,702 233,351 700,054 350,027 1,050,082

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #766,477 Browse Full Index Next Integer #766,479 →