λ
Sigma Notebook

6,439,072

25 × 31 × 6491
Abundant Even Composite

6,439,072 is even and not a perfect square. Its factorization is 2^5 × 31 × 6491 and its 24 divisors sum to 13,087,872.

Prime Factor Structure

Factorization String 2^5 × 31 × 6491
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 13,087,872
Proper Divisor Sum 6,648,800
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #6439067 ← → #6439123

Radix Representation

Decimal 6439072
Binary 11000100100000010100000 (23 bits)
Octal 0o30440240
Hexadecimal 0x6240A0

Divisor Catalog (24)

1 2 4 8 16 31 32 62 124 248 496 992 6,491 12,982 25,964 51,928 103,856 201,221 207,712 402,442 804,884 1,609,768 3,219,536 6,439,072

Collatz Trajectory (165 steps to reach 1)

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

6,439,072 3,219,536 1,609,768 804,884 402,442 201,221 603,664 301,832 150,916 75,458 37,729 113,188 56,594 28,297 84,892 42,446 21,223 63,670 31,835 95,506 47,753 143,260 71,630 35,815 107,446 53,723 161,170 80,585 241,756 120,878 60,439 181,318 90,659 271,978 135,989 407,968 203,984 101,992 50,996 25,498 12,749 38,248 19,124 9,562 4,781 14,344 7,172 3,586 1,793 5,380 2,690 1,345 4,036 2,018 1,009 3,028 1,514 757 2,272 1,136

More profiles

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