6,167,775

3 × 5² × 82237

6,167,775 factors as 3 × 5^2 × 82237. Its 12 positive divisors give a proper-divisor sum of 4,029,737, so this integer is deficient. The Collatz stopping time is 139 steps.

Prime Factor Structure

Factorization String 3 × 5^2 × 82237

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 10,197,512

Proper Divisor Sum 4,029,737

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #6167773 ← → #6167779

Radix Representation

Decimal	6167775
Binary	10111100001110011011111 (23 bits)
Octal	0o27416337
Hexadecimal	0x5E1CDF

Divisor Catalog (12)

1 3 5 15 25 75 82,237 246,711 411,185 1,233,555 2,055,925 6,167,775

Collatz Trajectory (139 steps to reach 1)

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

6,167,775 18,503,326 9,251,663 27,754,990 13,877,495 41,632,486 20,816,243 62,448,730 31,224,365 93,673,096 46,836,548 23,418,274 11,709,137 35,127,412 17,563,706 8,781,853 26,345,560 13,172,780 6,586,390 3,293,195 9,879,586 4,939,793 14,819,380 7,409,690 3,704,845 11,114,536 5,557,268 2,778,634 1,389,317 4,167,952 2,083,976 1,041,988 520,994 260,497 781,492 390,746 195,373 586,120 293,060 146,530 73,265 219,796 109,898 54,949 164,848 82,424 41,212 20,606 10,303 30,910 15,455 46,366 23,183 69,550 34,775 104,326 52,163 156,490 78,245 234,736

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