λ
Sigma Notebook

6,213,727

13 × 431 × 1109
Deficient Odd Composite

6,213,727 is odd and not a perfect square. Its factorization is 13 × 431 × 1109 and its 8 divisors sum to 6,713,280.

Prime Factor Structure

Factorization String 13 × 431 × 1109
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 6,713,280
Proper Divisor Sum 499,553
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #6213719 ← → #6213731

Radix Representation

Decimal 6213727
Binary 10111101101000001011111 (23 bits)
Octal 0o27550137
Hexadecimal 0x5ED05F

Divisor Catalog (8)

1 13 431 1,109 5,603 14,417 477,979 6,213,727

Collatz Trajectory (258 steps to reach 1)

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

6,213,727 18,641,182 9,320,591 27,961,774 13,980,887 41,942,662 20,971,331 62,913,994 31,456,997 94,370,992 47,185,496 23,592,748 11,796,374 5,898,187 17,694,562 8,847,281 26,541,844 13,270,922 6,635,461 19,906,384 9,953,192 4,976,596 2,488,298 1,244,149 3,732,448 1,866,224 933,112 466,556 233,278 116,639 349,918 174,959 524,878 262,439 787,318 393,659 1,180,978 590,489 1,771,468 885,734 442,867 1,328,602 664,301 1,992,904 996,452 498,226 249,113 747,340 373,670 186,835 560,506 280,253 840,760 420,380 210,190 105,095 315,286 157,643 472,930 236,465

More profiles

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