6,567,002

2 × 13² × 19429

6,567,002 factors as 2 × 13^2 × 19429. Its 12 positive divisors give a proper-divisor sum of 4,100,068, so this integer is deficient. The Collatz stopping time is 178 steps.

Prime Factor Structure

Factorization String 2 × 13^2 × 19429

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 10,667,070

Proper Divisor Sum 4,100,068

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #6566993 ← → #6567013

Radix Representation

Decimal	6567002
Binary	11001000011010001011010 (23 bits)
Octal	0o31032132
Hexadecimal	0x64345A

Divisor Catalog (12)

1 2 13 26 169 338 19,429 38,858 252,577 505,154 3,283,501 6,567,002

Collatz Trajectory (178 steps to reach 1)

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

6,567,002 3,283,501 9,850,504 4,925,252 2,462,626 1,231,313 3,693,940 1,846,970 923,485 2,770,456 1,385,228 692,614 346,307 1,038,922 519,461 1,558,384 779,192 389,596 194,798 97,399 292,198 146,099 438,298 219,149 657,448 328,724 164,362 82,181 246,544 123,272 61,636 30,818 15,409 46,228 23,114 11,557 34,672 17,336 8,668 4,334 2,167 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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