λ
Sigma Notebook

9,643,731

3 × 491 × 6547
Deficient Odd Composite

9,643,731 is odd and not a perfect square. Its factorization is 3 × 491 × 6547 and its 8 divisors sum to 12,886,464.

Prime Factor Structure

Factorization String 3 × 491 × 6547
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 12,886,464
Proper Divisor Sum 3,242,733
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #9643729 ← → #9643763

Radix Representation

Decimal 9643731
Binary 100100110010011011010011 (24 bits)
Octal 0o44623323
Hexadecimal 0x9326D3

Divisor Catalog (8)

1 3 491 1,473 6,547 19,641 3,214,577 9,643,731

Collatz Trajectory (269 steps to reach 1)

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

9,643,731 28,931,194 14,465,597 43,396,792 21,698,396 10,849,198 5,424,599 16,273,798 8,136,899 24,410,698 12,205,349 36,616,048 18,308,024 9,154,012 4,577,006 2,288,503 6,865,510 3,432,755 10,298,266 5,149,133 15,447,400 7,723,700 3,861,850 1,930,925 5,792,776 2,896,388 1,448,194 724,097 2,172,292 1,086,146 543,073 1,629,220 814,610 407,305 1,221,916 610,958 305,479 916,438 458,219 1,374,658 687,329 2,061,988 1,030,994 515,497 1,546,492 773,246 386,623 1,159,870 579,935 1,739,806 869,903 2,609,710 1,304,855 3,914,566 1,957,283 5,871,850 2,935,925 8,807,776 4,403,888 2,201,944

More profiles

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