λ
Prime Ledger

963,099

32 × 113 × 947
Deficient Odd Composite

963,099 has the prime decomposition 3^2 × 113 × 947. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 113 × 947
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 1,404,936
Proper Divisor Sum 441,837
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #963097 ← → #963103

Radix Representation

Decimal 963099
Binary 11101011001000011011 (20 bits)
Octal 0o3531033
Hexadecimal 0xEB21B

Divisor Catalog (12)

1 3 9 113 339 947 1,017 2,841 8,523 107,011 321,033 963,099

Collatz Trajectory (121 steps to reach 1)

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

963,099 2,889,298 1,444,649 4,333,948 2,166,974 1,083,487 3,250,462 1,625,231 4,875,694 2,437,847 7,313,542 3,656,771 10,970,314 5,485,157 16,455,472 8,227,736 4,113,868 2,056,934 1,028,467 3,085,402 1,542,701 4,628,104 2,314,052 1,157,026 578,513 1,735,540 867,770 433,885 1,301,656 650,828 325,414 162,707 488,122 244,061 732,184 366,092 183,046 91,523 274,570 137,285 411,856 205,928 102,964 51,482 25,741 77,224 38,612 19,306 9,653 28,960 14,480 7,240 3,620 1,810 905 2,716 1,358 679 2,038 1,019

More profiles

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