520,479

3³ × 37 × 521

520,479 factors as 3^3 × 37 × 521. Its 16 positive divisors give a proper-divisor sum of 272,961, so this integer is deficient. The Collatz stopping time is 133 steps.

Prime Factor Structure

Factorization String 3^3 × 37 × 521

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 793,440

Proper Divisor Sum 272,961

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #520451 ← → #520529

Radix Representation

Decimal	520479
Binary	1111111000100011111 (19 bits)
Octal	0o1770437
Hexadecimal	0x7F11F

Divisor Catalog (16)

1 3 9 27 37 111 333 521 999 1,563 4,689 14,067 19,277 57,831 173,493 520,479

Collatz Trajectory (133 steps to reach 1)

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

520,479 1,561,438 780,719 2,342,158 1,171,079 3,513,238 1,756,619 5,269,858 2,634,929 7,904,788 3,952,394 1,976,197 5,928,592 2,964,296 1,482,148 741,074 370,537 1,111,612 555,806 277,903 833,710 416,855 1,250,566 625,283 1,875,850 937,925 2,813,776 1,406,888 703,444 351,722 175,861 527,584 263,792 131,896 65,948 32,974 16,487 49,462 24,731 74,194 37,097 111,292 55,646 27,823 83,470 41,735 125,206 62,603 187,810 93,905 281,716 140,858 70,429 211,288 105,644 52,822 26,411 79,234 39,617 118,852

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