λ
Prime Ledger

769,077

32 × 85453
Deficient Odd Composite

769,077 has the prime decomposition 3^2 × 85453. Its 2 distinct prime factors produce 6 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 85453
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 1,110,902
Proper Divisor Sum 341,825
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #769073 ← → #769081

Radix Representation

Decimal 769077
Binary 10111011110000110101 (20 bits)
Octal 0o2736065
Hexadecimal 0xBBC35

Divisor Catalog (6)

1 3 9 85,453 256,359 769,077

Collatz Trajectory (74 steps to reach 1)

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

769,077 2,307,232 1,153,616 576,808 288,404 144,202 72,101 216,304 108,152 54,076 27,038 13,519 40,558 20,279 60,838 30,419 91,258 45,629 136,888 68,444 34,222 17,111 51,334 25,667 77,002 38,501 115,504 57,752 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 1,448 724 362 181 544 272 136

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