λ
Prime Ledger

1,281,321

32 × 142369
Deficient Odd Composite

1,281,321 has the prime decomposition 3^2 × 142369. Its 2 distinct prime factors produce 6 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 142369
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 1,850,810
Proper Divisor Sum 569,489
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #1281317 ← → #1281331

Radix Representation

Decimal 1281321
Binary 100111000110100101001 (21 bits)
Octal 0o4706451
Hexadecimal 0x138D29

Divisor Catalog (6)

1 3 9 142,369 427,107 1,281,321

Collatz Trajectory (186 steps to reach 1)

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

1,281,321 3,843,964 1,921,982 960,991 2,882,974 1,441,487 4,324,462 2,162,231 6,486,694 3,243,347 9,730,042 4,865,021 14,595,064 7,297,532 3,648,766 1,824,383 5,473,150 2,736,575 8,209,726 4,104,863 12,314,590 6,157,295 18,471,886 9,235,943 27,707,830 13,853,915 41,561,746 20,780,873 62,342,620 31,171,310 15,585,655 46,756,966 23,378,483 70,135,450 35,067,725 105,203,176 52,601,588 26,300,794 13,150,397 39,451,192 19,725,596 9,862,798 4,931,399 14,794,198 7,397,099 22,191,298 11,095,649 33,286,948 16,643,474 8,321,737 24,965,212 12,482,606 6,241,303 18,723,910 9,361,955 28,085,866 14,042,933 42,128,800 21,064,400 10,532,200

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