8,090,439

3 × 7² × 47 × 1171

8,090,439 factors as 3 × 7^2 × 47 × 1171. Its 24 positive divisors give a proper-divisor sum of 4,735,929, so this integer is deficient. The Collatz stopping time is 217 steps.

Prime Factor Structure

Factorization String 3 × 7^2 × 47 × 1171

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 12,826,368

Proper Divisor Sum 4,735,929

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #8090437 ← → #8090441

Radix Representation

Decimal	8090439
Binary	11110110111001101000111 (23 bits)
Octal	0o36671507
Hexadecimal	0x7B7347

Divisor Catalog (24)

Collatz Trajectory (217 steps to reach 1)

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

8,090,439 24,271,318 12,135,659 36,406,978 18,203,489 54,610,468 27,305,234 13,652,617 40,957,852 20,478,926 10,239,463 30,718,390 15,359,195 46,077,586 23,038,793 69,116,380 34,558,190 17,279,095 51,837,286 25,918,643 77,755,930 38,877,965 116,633,896 58,316,948 29,158,474 14,579,237 43,737,712 21,868,856 10,934,428 5,467,214 2,733,607 8,200,822 4,100,411 12,301,234 6,150,617 18,451,852 9,225,926 4,612,963 13,838,890 6,919,445 20,758,336 10,379,168 5,189,584 2,594,792 1,297,396 648,698 324,349 973,048 486,524 243,262 121,631 364,894 182,447 547,342 273,671 821,014 410,507 1,231,522 615,761 1,847,284

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