8,090,169

3 × 349 × 7727

8,090,169 factors as 3 × 349 × 7727. Its 8 positive divisors give a proper-divisor sum of 2,729,031, so this integer is deficient. The Collatz stopping time is 124 steps.

Prime Factor Structure

Factorization String 3 × 349 × 7727

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 10,819,200

Proper Divisor Sum 2,729,031

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #8090141 ← → #8090171

Radix Representation

Decimal	8090169
Binary	11110110111001000111001 (23 bits)
Octal	0o36671071
Hexadecimal	0x7B7239

Divisor Catalog (8)

1 3 349 1,047 7,727 23,181 2,696,723 8,090,169

Collatz Trajectory (124 steps to reach 1)

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

8,090,169 24,270,508 12,135,254 6,067,627 18,202,882 9,101,441 27,304,324 13,652,162 6,826,081 20,478,244 10,239,122 5,119,561 15,358,684 7,679,342 3,839,671 11,519,014 5,759,507 17,278,522 8,639,261 25,917,784 12,958,892 6,479,446 3,239,723 9,719,170 4,859,585 14,578,756 7,289,378 3,644,689 10,934,068 5,467,034 2,733,517 8,200,552 4,100,276 2,050,138 1,025,069 3,075,208 1,537,604 768,802 384,401 1,153,204 576,602 288,301 864,904 432,452 216,226 108,113 324,340 162,170 81,085 243,256 121,628 60,814 30,407 91,222 45,611 136,834 68,417 205,252 102,626 51,313

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