λ
Prime Ledger

432,207

32 × 48023
Deficient Odd Composite

432,207 has the prime decomposition 3^2 × 48023. Its 2 distinct prime factors produce 6 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 48023
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 624,312
Proper Divisor Sum 192,105
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #432203 ← → #432227

Radix Representation

Decimal 432207
Binary 1101001100001001111 (19 bits)
Octal 0o1514117
Hexadecimal 0x6984F

Divisor Catalog (6)

1 3 9 48,023 144,069 432,207

Collatz Trajectory (187 steps to reach 1)

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

432,207 1,296,622 648,311 1,944,934 972,467 2,917,402 1,458,701 4,376,104 2,188,052 1,094,026 547,013 1,641,040 820,520 410,260 205,130 102,565 307,696 153,848 76,924 38,462 19,231 57,694 28,847 86,542 43,271 129,814 64,907 194,722 97,361 292,084 146,042 73,021 219,064 109,532 54,766 27,383 82,150 41,075 123,226 61,613 184,840 92,420 46,210 23,105 69,316 34,658 17,329 51,988 25,994 12,997 38,992 19,496 9,748 4,874 2,437 7,312 3,656 1,828 914 457

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