6,477,578

2 × 17 × 317 × 601

6,477,578 factors as 2 × 17 × 317 × 601. Its 16 positive divisors give a proper-divisor sum of 3,859,966, so this integer is deficient. The Collatz stopping time is 240 steps.

Prime Factor Structure

Factorization String 2 × 17 × 317 × 601

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 10,337,544

Proper Divisor Sum 3,859,966

Digit Sum / Digital Root 44 (Root: 8)

Adjacent Primes #6477577 ← → #6477589

Radix Representation

Decimal	6477578
Binary	11000101101011100001010 (23 bits)
Octal	0o30553412
Hexadecimal	0x62D70A

Divisor Catalog (16)

1 2 17 34 317 601 634 1,202 5,389 10,217 10,778 20,434 190,517 381,034 3,238,789 6,477,578

Collatz Trajectory (240 steps to reach 1)

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

6,477,578 3,238,789 9,716,368 4,858,184 2,429,092 1,214,546 607,273 1,821,820 910,910 455,455 1,366,366 683,183 2,049,550 1,024,775 3,074,326 1,537,163 4,611,490 2,305,745 6,917,236 3,458,618 1,729,309 5,187,928 2,593,964 1,296,982 648,491 1,945,474 972,737 2,918,212 1,459,106 729,553 2,188,660 1,094,330 547,165 1,641,496 820,748 410,374 205,187 615,562 307,781 923,344 461,672 230,836 115,418 57,709 173,128 86,564 43,282 21,641 64,924 32,462 16,231 48,694 24,347 73,042 36,521 109,564 54,782 27,391 82,174 41,087

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