λ
Prime Ledger

1,345,761

33 × 49843
Deficient Odd Composite

1,345,761 has the prime decomposition 3^3 × 49843. Its 2 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 3^3 × 49843
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,993,760
Proper Divisor Sum 647,999
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #1345759 ← → #1345777

Radix Representation

Decimal 1345761
Binary 101001000100011100001 (21 bits)
Octal 0o5104341
Hexadecimal 0x1488E1

Divisor Catalog (8)

1 3 9 27 49,843 149,529 448,587 1,345,761

Collatz Trajectory (230 steps to reach 1)

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

1,345,761 4,037,284 2,018,642 1,009,321 3,027,964 1,513,982 756,991 2,270,974 1,135,487 3,406,462 1,703,231 5,109,694 2,554,847 7,664,542 3,832,271 11,496,814 5,748,407 17,245,222 8,622,611 25,867,834 12,933,917 38,801,752 19,400,876 9,700,438 4,850,219 14,550,658 7,275,329 21,825,988 10,912,994 5,456,497 16,369,492 8,184,746 4,092,373 12,277,120 6,138,560 3,069,280 1,534,640 767,320 383,660 191,830 95,915 287,746 143,873 431,620 215,810 107,905 323,716 161,858 80,929 242,788 121,394 60,697 182,092 91,046 45,523 136,570 68,285 204,856 102,428 51,214

More profiles

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