λ
Prime Ledger

467,807

677 × 691
Deficient Odd Composite

467,807 has the prime decomposition 677 × 691. Its 2 distinct prime factors produce 4 positive divisors.

Prime Factor Structure

Factorization String 677 × 691
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 469,176
Proper Divisor Sum 1,369
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #467783 ← → #467813

Radix Representation

Decimal 467807
Binary 1110010001101011111 (19 bits)
Octal 0o1621537
Hexadecimal 0x7235F

Divisor Catalog (4)

1 677 691 467,807

Collatz Trajectory (130 steps to reach 1)

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

467,807 1,403,422 701,711 2,105,134 1,052,567 3,157,702 1,578,851 4,736,554 2,368,277 7,104,832 3,552,416 1,776,208 888,104 444,052 222,026 111,013 333,040 166,520 83,260 41,630 20,815 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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