6,567,775

5² × 29 × 9059

6,567,775 factors as 5^2 × 29 × 9059. Its 12 positive divisors give a proper-divisor sum of 1,858,025, so this integer is deficient. The Collatz stopping time is 178 steps.

Prime Factor Structure

Factorization String 5^2 × 29 × 9059

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 8,425,800

Proper Divisor Sum 1,858,025

Digit Sum / Digital Root 43 (Root: 7)

Adjacent Primes #6567761 ← → #6567779

Radix Representation

Decimal	6567775
Binary	11001000011011101011111 (23 bits)
Octal	0o31033537
Hexadecimal	0x64375F

Divisor Catalog (12)

1 5 25 29 145 725 9,059 45,295 226,475 262,711 1,313,555 6,567,775

Collatz Trajectory (178 steps to reach 1)

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

6,567,775 19,703,326 9,851,663 29,554,990 14,777,495 44,332,486 22,166,243 66,498,730 33,249,365 99,748,096 49,874,048 24,937,024 12,468,512 6,234,256 3,117,128 1,558,564 779,282 389,641 1,168,924 584,462 292,231 876,694 438,347 1,315,042 657,521 1,972,564 986,282 493,141 1,479,424 739,712 369,856 184,928 92,464 46,232 23,116 11,558 5,779 17,338 8,669 26,008 13,004 6,502 3,251 9,754 4,877 14,632 7,316 3,658 1,829 5,488 2,744 1,372 686 343 1,030 515 1,546 773 2,320 1,160

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