480,924

2² × 3³ × 61 × 73

480,924 has digital root 9. The neighboring primes are 480919 and 480929; its proper-divisor sum differs from the starting integer by 322,792.

Prime Factor Structure

Factorization String 2^2 × 3^3 × 61 × 73

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 1,284,640

Proper Divisor Sum 803,716

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #480919 ← → #480929

Radix Representation

Decimal	480924
Binary	1110101011010011100 (19 bits)
Octal	0o1653234
Hexadecimal	0x7569C

Divisor Catalog (48)

1 2 3 4 6 9 12 18 27 36 54 61 73 108 122 146 183 219 244 292 366 438 549 657 732 876 1,098 1,314 1,647 1,971 2,196 2,628 3,294 3,942 4,453 6,588 7,884 8,906 13,359 17,812 26,718 40,077 53,436 80,154 120,231 160,308 240,462 480,924

Collatz Trajectory (120 steps to reach 1)

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

480,924 240,462 120,231 360,694 180,347 541,042 270,521 811,564 405,782 202,891 608,674 304,337 913,012 456,506 228,253 684,760 342,380 171,190 85,595 256,786 128,393 385,180 192,590 96,295 288,886 144,443 433,330 216,665 649,996 324,998 162,499 487,498 243,749 731,248 365,624 182,812 91,406 45,703 137,110 68,555 205,666 102,833 308,500 154,250 77,125 231,376 115,688 57,844 28,922 14,461 43,384 21,692 10,846 5,423 16,270 8,135 24,406 12,203 36,610 18,305

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