λ
Prime Ledger

455,743

167 × 2729
Deficient Odd Composite

455,743 has the prime decomposition 167 × 2729. Its 2 distinct prime factors produce 4 positive divisors.

Prime Factor Structure

Factorization String 167 × 2729
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 458,640
Proper Divisor Sum 2,897
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #455737 ← → #455761

Radix Representation

Decimal 455743
Binary 1101111010000111111 (19 bits)
Octal 0o1572077
Hexadecimal 0x6F43F

Divisor Catalog (4)

1 167 2,729 455,743

Collatz Trajectory (81 steps to reach 1)

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

455,743 1,367,230 683,615 2,050,846 1,025,423 3,076,270 1,538,135 4,614,406 2,307,203 6,921,610 3,460,805 10,382,416 5,191,208 2,595,604 1,297,802 648,901 1,946,704 973,352 486,676 243,338 121,669 365,008 182,504 91,252 45,626 22,813 68,440 34,220 17,110 8,555 25,666 12,833 38,500 19,250 9,625 28,876 14,438 7,219 21,658 10,829 32,488 16,244 8,122 4,061 12,184 6,092 3,046 1,523 4,570 2,285 6,856 3,428 1,714 857 2,572 1,286 643 1,930 965 2,896

More profiles

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