333,465

3 × 5 × 11 × 43 × 47

333,465 factors as 3 × 5 × 11 × 43 × 47. Its 32 positive divisors give a proper-divisor sum of 274,791, so this integer is deficient. The Collatz stopping time is 91 steps.

Prime Factor Structure

Factorization String 3 × 5 × 11 × 43 × 47

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 608,256

Proper Divisor Sum 274,791

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #333457 ← → #333479

Radix Representation

Decimal	333465
Binary	1010001011010011001 (19 bits)
Octal	0o1213231
Hexadecimal	0x51699

Divisor Catalog (32)

1 3 5 11 15 33 43 47 55 129 141 165 215 235 473 517 645 705 1,419 1,551 2,021 2,365 2,585 6,063 7,095 7,755 10,105 22,231 30,315 66,693 111,155 333,465

Collatz Trajectory (91 steps to reach 1)

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

333,465 1,000,396 500,198 250,099 750,298 375,149 1,125,448 562,724 281,362 140,681 422,044 211,022 105,511 316,534 158,267 474,802 237,401 712,204 356,102 178,051 534,154 267,077 801,232 400,616 200,308 100,154 50,077 150,232 75,116 37,558 18,779 56,338 28,169 84,508 42,254 21,127 63,382 31,691 95,074 47,537 142,612 71,306 35,653 106,960 53,480 26,740 13,370 6,685 20,056 10,028 5,014 2,507 7,522 3,761 11,284 5,642 2,821 8,464 4,232 2,116

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #333,464 Browse Full Index Next Integer #333,466 →