λ
Sigma Notebook

6,328,504

23 × 7 × 13 × 8693
Abundant Even Composite

6,328,504 is even and not a perfect square. Its factorization is 2^3 × 7 × 13 × 8693 and its 32 divisors sum to 14,605,920.

Prime Factor Structure

Factorization String 2^3 × 7 × 13 × 8693
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 14,605,920
Proper Divisor Sum 8,277,416
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #6328489 ← → #6328529

Radix Representation

Decimal 6328504
Binary 11000001001000010111000 (23 bits)
Octal 0o30110270
Hexadecimal 0x6090B8

Divisor Catalog (32)

1 2 4 7 8 13 14 26 28 52 56 91 104 182 364 728 8,693 17,386 34,772 60,851 69,544 113,009 121,702 226,018 243,404 452,036 486,808 791,063 904,072 1,582,126 3,164,252 6,328,504

Collatz Trajectory (165 steps to reach 1)

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

6,328,504 3,164,252 1,582,126 791,063 2,373,190 1,186,595 3,559,786 1,779,893 5,339,680 2,669,840 1,334,920 667,460 333,730 166,865 500,596 250,298 125,149 375,448 187,724 93,862 46,931 140,794 70,397 211,192 105,596 52,798 26,399 79,198 39,599 118,798 59,399 178,198 89,099 267,298 133,649 400,948 200,474 100,237 300,712 150,356 75,178 37,589 112,768 56,384 28,192 14,096 7,048 3,524 1,762 881 2,644 1,322 661 1,984 992 496 248 124 62 31

More profiles

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