λ
Prime Ledger

1,432,197

32 × 13 × 12241
Deficient Odd Composite

1,432,197 has the prime decomposition 3^2 × 13 × 12241. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 13 × 12241
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 2,228,044
Proper Divisor Sum 795,847
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #1432181 ← → #1432217

Radix Representation

Decimal 1432197
Binary 101011101101010000101 (21 bits)
Octal 0o5355205
Hexadecimal 0x15DA85

Divisor Catalog (12)

1 3 9 13 39 117 12,241 36,723 110,169 159,133 477,399 1,432,197

Collatz Trajectory (119 steps to reach 1)

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

1,432,197 4,296,592 2,148,296 1,074,148 537,074 268,537 805,612 402,806 201,403 604,210 302,105 906,316 453,158 226,579 679,738 339,869 1,019,608 509,804 254,902 127,451 382,354 191,177 573,532 286,766 143,383 430,150 215,075 645,226 322,613 967,840 483,920 241,960 120,980 60,490 30,245 90,736 45,368 22,684 11,342 5,671 17,014 8,507 25,522 12,761 38,284 19,142 9,571 28,714 14,357 43,072 21,536 10,768 5,384 2,692 1,346 673 2,020 1,010 505 1,516

More profiles

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