6,505,148

2² × 13² × 9623

6,505,148 factors as 2^2 × 13^2 × 9623. Its 18 positive divisors give a proper-divisor sum of 5,823,196, so this integer is deficient. The Collatz stopping time is 209 steps.

Prime Factor Structure

Factorization String 2^2 × 13^2 × 9623

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 18

Divisor Sum (σ) 12,328,344

Proper Divisor Sum 5,823,196

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #6505141 ← → #6505153

Radix Representation

Decimal	6505148
Binary	11000110100001010111100 (23 bits)
Octal	0o30641274
Hexadecimal	0x6342BC

Divisor Catalog (18)

1 2 4 13 26 52 169 338 676 9,623 19,246 38,492 125,099 250,198 500,396 1,626,287 3,252,574 6,505,148

Collatz Trajectory (209 steps to reach 1)

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

6,505,148 3,252,574 1,626,287 4,878,862 2,439,431 7,318,294 3,659,147 10,977,442 5,488,721 16,466,164 8,233,082 4,116,541 12,349,624 6,174,812 3,087,406 1,543,703 4,631,110 2,315,555 6,946,666 3,473,333 10,420,000 5,210,000 2,605,000 1,302,500 651,250 325,625 976,876 488,438 244,219 732,658 366,329 1,098,988 549,494 274,747 824,242 412,121 1,236,364 618,182 309,091 927,274 463,637 1,390,912 695,456 347,728 173,864 86,932 43,466 21,733 65,200 32,600 16,300 8,150 4,075 12,226 6,113 18,340 9,170 4,585 13,756 6,878

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