λ
Sigma Notebook

6,496,245

32 × 5 × 7 × 41 × 503
Abundant Odd Composite

6,496,245 is odd and not a perfect square. Its factorization is 3^2 × 5 × 7 × 41 × 503 and its 48 divisors sum to 13,208,832.

Prime Factor Structure

Factorization String 3^2 × 5 × 7 × 41 × 503
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 13,208,832
Proper Divisor Sum 6,712,587
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #6496223 ← → #6496247

Radix Representation

Decimal 6496245
Binary 11000110001111111110101 (23 bits)
Octal 0o30617765
Hexadecimal 0x631FF5

Divisor Catalog (48)

1 3 5 7 9 15 21 35 41 45 63 105 123 205 287 315 369 503 615 861 1,435 1,509 1,845 2,515 2,583 3,521 4,305 4,527 7,545 10,563 12,915 17,605 20,623 22,635 31,689 52,815 61,869 103,115 144,361 158,445 185,607 309,345 433,083 721,805 928,035 1,299,249 2,165,415 6,496,245

Collatz Trajectory (121 steps to reach 1)

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

6,496,245 19,488,736 9,744,368 4,872,184 2,436,092 1,218,046 609,023 1,827,070 913,535 2,740,606 1,370,303 4,110,910 2,055,455 6,166,366 3,083,183 9,249,550 4,624,775 13,874,326 6,937,163 20,811,490 10,405,745 31,217,236 15,608,618 7,804,309 23,412,928 11,706,464 5,853,232 2,926,616 1,463,308 731,654 365,827 1,097,482 548,741 1,646,224 823,112 411,556 205,778 102,889 308,668 154,334 77,167 231,502 115,751 347,254 173,627 520,882 260,441 781,324 390,662 195,331 585,994 292,997 878,992 439,496 219,748 109,874 54,937 164,812 82,406 41,203

More profiles

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