467,805

3 × 5 × 13 × 2399

467,805 factors as 3 × 5 × 13 × 2399. Its 16 positive divisors give a proper-divisor sum of 338,595, so this integer is deficient. The Collatz stopping time is 130 steps.

Prime Factor Structure

Factorization String 3 × 5 × 13 × 2399

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 806,400

Proper Divisor Sum 338,595

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #467783 ← → #467813

Radix Representation

Decimal	467805
Binary	1110010001101011101 (19 bits)
Octal	0o1621535
Hexadecimal	0x7235D

Divisor Catalog (16)

1 3 5 13 15 39 65 195 2,399 7,197 11,995 31,187 35,985 93,561 155,935 467,805

Collatz Trajectory (130 steps to reach 1)

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

467,805 1,403,416 701,708 350,854 175,427 526,282 263,141 789,424 394,712 197,356 98,678 49,339 148,018 74,009 222,028 111,014 55,507 166,522 83,261 249,784 124,892 62,446 31,223 93,670 46,835 140,506 70,253 210,760 105,380 52,690 26,345 79,036 39,518 19,759 59,278 29,639 88,918 44,459 133,378 66,689 200,068 100,034 50,017 150,052 75,026 37,513 112,540 56,270 28,135 84,406 42,203 126,610 63,305 189,916 94,958 47,479 142,438 71,219 213,658 106,829

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