λ
Sigma Notebook

6,490,624

29 × 7 × 1811
Abundant Even Composite

6,490,624 is even and not a perfect square. Its factorization is 2^9 × 7 × 1811 and its 40 divisors sum to 14,829,408.

Prime Factor Structure

Factorization String 2^9 × 7 × 1811
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 14,829,408
Proper Divisor Sum 8,338,784
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #6490613 ← → #6490643

Radix Representation

Decimal 6490624
Binary 11000110000101000000000 (23 bits)
Octal 0o30605000
Hexadecimal 0x630A00

Divisor Catalog (40)

1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 512 896 1,792 1,811 3,584 3,622 7,244 12,677 14,488 25,354 28,976 50,708 57,952 101,416 115,904 202,832 231,808 405,664 463,616 811,328 927,232 1,622,656 3,245,312 6,490,624

Collatz Trajectory (64 steps to reach 1)

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

6,490,624 3,245,312 1,622,656 811,328 405,664 202,832 101,416 50,708 25,354 12,677 38,032 19,016 9,508 4,754 2,377 7,132 3,566 1,783 5,350 2,675 8,026 4,013 12,040 6,020 3,010 1,505 4,516 2,258 1,129 3,388 1,694 847 2,542 1,271 3,814 1,907 5,722 2,861 8,584 4,292 2,146 1,073 3,220 1,610 805 2,416 1,208 604 302 151 454 227 682 341 1,024 512 256 128 64 32

More profiles

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