467,433

3² × 167 × 311

467,433 is odd and not a perfect square. Its factorization is 3^2 × 167 × 311 and its 12 divisors sum to 681,408.

Prime Factor Structure

Factorization String 3^2 × 167 × 311

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 681,408

Proper Divisor Sum 213,975

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #467431 ← → #467437

Radix Representation

Decimal	467433
Binary	1110010000111101001 (19 bits)
Octal	0o1620751
Hexadecimal	0x721E9

Divisor Catalog (12)

1 3 9 167 311 501 933 1,503 2,799 51,937 155,811 467,433

Collatz Trajectory (231 steps to reach 1)

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

467,433 1,402,300 701,150 350,575 1,051,726 525,863 1,577,590 788,795 2,366,386 1,183,193 3,549,580 1,774,790 887,395 2,662,186 1,331,093 3,993,280 1,996,640 998,320 499,160 249,580 124,790 62,395 187,186 93,593 280,780 140,390 70,195 210,586 105,293 315,880 157,940 78,970 39,485 118,456 59,228 29,614 14,807 44,422 22,211 66,634 33,317 99,952 49,976 24,988 12,494 6,247 18,742 9,371 28,114 14,057 42,172 21,086 10,543 31,630 15,815 47,446 23,723 71,170 35,585 106,756

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