8,412,076

2² × 17 × 123707

8,412,076 factors as 2^2 × 17 × 123707. Its 12 positive divisors give a proper-divisor sum of 7,175,132, so this integer is deficient. The Collatz stopping time is 155 steps.

Prime Factor Structure

Factorization String 2^2 × 17 × 123707

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 15,587,208

Proper Divisor Sum 7,175,132

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #8412049 ← → #8412077

Radix Representation

Decimal	8412076
Binary	100000000101101110101100 (24 bits)
Octal	0o40055654
Hexadecimal	0x805BAC

Divisor Catalog (12)

1 2 4 17 34 68 123,707 247,414 494,828 2,103,019 4,206,038 8,412,076

Collatz Trajectory (155 steps to reach 1)

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

8,412,076 4,206,038 2,103,019 6,309,058 3,154,529 9,463,588 4,731,794 2,365,897 7,097,692 3,548,846 1,774,423 5,323,270 2,661,635 7,984,906 3,992,453 11,977,360 5,988,680 2,994,340 1,497,170 748,585 2,245,756 1,122,878 561,439 1,684,318 842,159 2,526,478 1,263,239 3,789,718 1,894,859 5,684,578 2,842,289 8,526,868 4,263,434 2,131,717 6,395,152 3,197,576 1,598,788 799,394 399,697 1,199,092 599,546 299,773 899,320 449,660 224,830 112,415 337,246 168,623 505,870 252,935 758,806 379,403 1,138,210 569,105 1,707,316 853,658 426,829 1,280,488 640,244 320,122

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