λ
Sigma Notebook

6,336,024

23 × 3 × 227 × 1163
Abundant Even Composite

6,336,024 is even and not a perfect square. Its factorization is 2^3 × 3 × 227 × 1163 and its 32 divisors sum to 15,923,520.

Prime Factor Structure

Factorization String 2^3 × 3 × 227 × 1163
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 15,923,520
Proper Divisor Sum 9,587,496
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #6336013 ← → #6336041

Radix Representation

Decimal 6336024
Binary 11000001010111000011000 (23 bits)
Octal 0o30127030
Hexadecimal 0x60AE18

Divisor Catalog (32)

1 2 3 4 6 8 12 24 227 454 681 908 1,163 1,362 1,816 2,326 2,724 3,489 4,652 5,448 6,978 9,304 13,956 27,912 264,001 528,002 792,003 1,056,004 1,584,006 2,112,008 3,168,012 6,336,024

Collatz Trajectory (72 steps to reach 1)

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

6,336,024 3,168,012 1,584,006 792,003 2,376,010 1,188,005 3,564,016 1,782,008 891,004 445,502 222,751 668,254 334,127 1,002,382 501,191 1,503,574 751,787 2,255,362 1,127,681 3,383,044 1,691,522 845,761 2,537,284 1,268,642 634,321 1,902,964 951,482 475,741 1,427,224 713,612 356,806 178,403 535,210 267,605 802,816 401,408 200,704 100,352 50,176 25,088 12,544 6,272 3,136 1,568 784 392 196 98 49 148 74 37 112 56 28 14 7 22 11 34

More profiles

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