λ
Prime Ledger

1,432,236

22 × 3 × 13 × 9181
Abundant Even Composite

1,432,236 has the prime decomposition 2^2 × 3 × 13 × 9181. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 13 × 9181
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 3,599,344
Proper Divisor Sum 2,167,108
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #1432217 ← → #1432243

Radix Representation

Decimal 1432236
Binary 101011101101010101100 (21 bits)
Octal 0o5355254
Hexadecimal 0x15DAAC

Divisor Catalog (24)

1 2 3 4 6 12 13 26 39 52 78 156 9,181 18,362 27,543 36,724 55,086 110,172 119,353 238,706 358,059 477,412 716,118 1,432,236

Collatz Trajectory (150 steps to reach 1)

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

1,432,236 716,118 358,059 1,074,178 537,089 1,611,268 805,634 402,817 1,208,452 604,226 302,113 906,340 453,170 226,585 679,756 339,878 169,939 509,818 254,909 764,728 382,364 191,182 95,591 286,774 143,387 430,162 215,081 645,244 322,622 161,311 483,934 241,967 725,902 362,951 1,088,854 544,427 1,633,282 816,641 2,449,924 1,224,962 612,481 1,837,444 918,722 459,361 1,378,084 689,042 344,521 1,033,564 516,782 258,391 775,174 387,587 1,162,762 581,381 1,744,144 872,072 436,036 218,018 109,009 327,028

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