473,526

2 × 3⁴ × 37 × 79

473,526 factors as 2 × 3^4 × 37 × 79. Its 40 positive divisors give a proper-divisor sum of 629,994, so this integer is abundant. The Collatz stopping time is 99 steps.

Prime Factor Structure

Factorization String 2 × 3^4 × 37 × 79

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 1,103,520

Proper Divisor Sum 629,994

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #473519 ← → #473527

Radix Representation

Decimal	473526
Binary	1110011100110110110 (19 bits)
Octal	0o1634666
Hexadecimal	0x739B6

Divisor Catalog (40)

1 2 3 6 9 18 27 37 54 74 79 81 111 158 162 222 237 333 474 666 711 999 1,422 1,998 2,133 2,923 2,997 4,266 5,846 5,994 6,399 8,769 12,798 17,538 26,307 52,614 78,921 157,842 236,763 473,526

Collatz Trajectory (99 steps to reach 1)

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

473,526 236,763 710,290 355,145 1,065,436 532,718 266,359 799,078 399,539 1,198,618 599,309 1,797,928 898,964 449,482 224,741 674,224 337,112 168,556 84,278 42,139 126,418 63,209 189,628 94,814 47,407 142,222 71,111 213,334 106,667 320,002 160,001 480,004 240,002 120,001 360,004 180,002 90,001 270,004 135,002 67,501 202,504 101,252 50,626 25,313 75,940 37,970 18,985 56,956 28,478 14,239 42,718 21,359 64,078 32,039 96,118 48,059 144,178 72,089 216,268 108,134

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