506,763

3³ × 137²

506,763 factors as 3^3 × 137^2. Its 12 positive divisors give a proper-divisor sum of 249,517, so this integer is deficient. The Collatz stopping time is 226 steps.

Prime Factor Structure

Factorization String 3^3 × 137^2

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 756,280

Proper Divisor Sum 249,517

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #506743 ← → #506773

Radix Representation

Decimal	506763
Binary	1111011101110001011 (19 bits)
Octal	0o1735613
Hexadecimal	0x7BB8B

Divisor Catalog (12)

1 3 9 27 137 411 1,233 3,699 18,769 56,307 168,921 506,763

Collatz Trajectory (226 steps to reach 1)

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

506,763 1,520,290 760,145 2,280,436 1,140,218 570,109 1,710,328 855,164 427,582 213,791 641,374 320,687 962,062 481,031 1,443,094 721,547 2,164,642 1,082,321 3,246,964 1,623,482 811,741 2,435,224 1,217,612 608,806 304,403 913,210 456,605 1,369,816 684,908 342,454 171,227 513,682 256,841 770,524 385,262 192,631 577,894 288,947 866,842 433,421 1,300,264 650,132 325,066 162,533 487,600 243,800 121,900 60,950 30,475 91,426 45,713 137,140 68,570 34,285 102,856 51,428 25,714 12,857 38,572 19,286

More profiles

Browse other published profiles and their separate link collections.

Profile #8,342,168 Profile #1,146,956 Profile #9,712,347 Profile #6,573,969 Profile #965,653 Profile #4,620,983 Profile #853,259 Profile #1,288,150

← Previous Integer #506,762 Browse Full Index Next Integer #506,764 →