λ
Prime Ledger

144,807

3 × 13 × 47 × 79
Deficient Odd Composite

144,807 has the prime decomposition 3 × 13 × 47 × 79. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 13 × 47 × 79
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 215,040
Proper Divisor Sum 70,233
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #144791 ← → #144817

Radix Representation

Decimal 144807
Binary 100011010110100111 (18 bits)
Octal 0o432647
Hexadecimal 0x235A7

Divisor Catalog (16)

1 3 13 39 47 79 141 237 611 1,027 1,833 3,081 3,713 11,139 48,269 144,807

Collatz Trajectory (157 steps to reach 1)

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

144,807 434,422 217,211 651,634 325,817 977,452 488,726 244,363 733,090 366,545 1,099,636 549,818 274,909 824,728 412,364 206,182 103,091 309,274 154,637 463,912 231,956 115,978 57,989 173,968 86,984 43,492 21,746 10,873 32,620 16,310 8,155 24,466 12,233 36,700 18,350 9,175 27,526 13,763 41,290 20,645 61,936 30,968 15,484 7,742 3,871 11,614 5,807 17,422 8,711 26,134 13,067 39,202 19,601 58,804 29,402 14,701 44,104 22,052 11,026 5,513

More profiles

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