λ
Prime Ledger

1,381,788

22 × 32 × 131 × 293
Abundant Even Composite

1,381,788 has the prime decomposition 2^2 × 3^2 × 131 × 293. Its 4 distinct prime factors produce 36 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 131 × 293
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 3,531,528
Proper Divisor Sum 2,149,740
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #1381769 ← → #1381819

Radix Representation

Decimal 1381788
Binary 101010001010110011100 (21 bits)
Octal 0o5212634
Hexadecimal 0x15159C

Divisor Catalog (36)

1 2 3 4 6 9 12 18 36 131 262 293 393 524 586 786 879 1,172 1,179 1,572 1,758 2,358 2,637 3,516 4,716 5,274 10,548 38,383 76,766 115,149 153,532 230,298 345,447 460,596 690,894 1,381,788

Collatz Trajectory (106 steps to reach 1)

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

1,381,788 690,894 345,447 1,036,342 518,171 1,554,514 777,257 2,331,772 1,165,886 582,943 1,748,830 874,415 2,623,246 1,311,623 3,934,870 1,967,435 5,902,306 2,951,153 8,853,460 4,426,730 2,213,365 6,640,096 3,320,048 1,660,024 830,012 415,006 207,503 622,510 311,255 933,766 466,883 1,400,650 700,325 2,100,976 1,050,488 525,244 262,622 131,311 393,934 196,967 590,902 295,451 886,354 443,177 1,329,532 664,766 332,383 997,150 498,575 1,495,726 747,863 2,243,590 1,121,795 3,365,386 1,682,693 5,048,080 2,524,040 1,262,020 631,010 315,505

More profiles

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