λ
Prime Ledger

655,401

3 × 17 × 71 × 181
Deficient Odd Composite

655,401 has the prime decomposition 3 × 17 × 71 × 181. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 17 × 71 × 181
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 943,488
Proper Divisor Sum 288,087
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #655399 ← → #655439

Radix Representation

Decimal 655401
Binary 10100000000000101001 (20 bits)
Octal 0o2400051
Hexadecimal 0xA0029

Divisor Catalog (16)

1 3 17 51 71 181 213 543 1,207 3,077 3,621 9,231 12,851 38,553 218,467 655,401

Collatz Trajectory (203 steps to reach 1)

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

655,401 1,966,204 983,102 491,551 1,474,654 737,327 2,211,982 1,105,991 3,317,974 1,658,987 4,976,962 2,488,481 7,465,444 3,732,722 1,866,361 5,599,084 2,799,542 1,399,771 4,199,314 2,099,657 6,298,972 3,149,486 1,574,743 4,724,230 2,362,115 7,086,346 3,543,173 10,629,520 5,314,760 2,657,380 1,328,690 664,345 1,993,036 996,518 498,259 1,494,778 747,389 2,242,168 1,121,084 560,542 280,271 840,814 420,407 1,261,222 630,611 1,891,834 945,917 2,837,752 1,418,876 709,438 354,719 1,064,158 532,079 1,596,238 798,119 2,394,358 1,197,179 3,591,538 1,795,769 5,387,308

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