8,158,140

2² × 3² × 5 × 61 × 743

8,158,140 factors as 2^2 × 3^2 × 5 × 61 × 743. Its 72 positive divisors give a proper-divisor sum of 17,027,748, so this integer is abundant. The Collatz stopping time is 199 steps.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 5 × 61 × 743

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 25,185,888

Proper Divisor Sum 17,027,748

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #8158133 ← → #8158187

Radix Representation

Decimal	8158140
Binary	11111000111101110111100 (23 bits)
Octal	0o37075674
Hexadecimal	0x7C7BBC

Divisor Catalog (60 of 72)

1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 61 90 122 180 183 244 305 366 549 610 732 743 915 1,098 1,220 1,486 1,830 2,196 2,229 2,745 2,972 3,660 3,715 4,458 5,490 6,687 7,430 8,916 10,980 11,145 13,374 14,860 22,290 26,748 33,435 44,580 45,323 66,870 90,646 133,740 135,969 181,292 226,615 271,938

Collatz Trajectory (199 steps to reach 1)

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

8,158,140 4,079,070 2,039,535 6,118,606 3,059,303 9,177,910 4,588,955 13,766,866 6,883,433 20,650,300 10,325,150 5,162,575 15,487,726 7,743,863 23,231,590 11,615,795 34,847,386 17,423,693 52,271,080 26,135,540 13,067,770 6,533,885 19,601,656 9,800,828 4,900,414 2,450,207 7,350,622 3,675,311 11,025,934 5,512,967 16,538,902 8,269,451 24,808,354 12,404,177 37,212,532 18,606,266 9,303,133 27,909,400 13,954,700 6,977,350 3,488,675 10,466,026 5,233,013 15,699,040 7,849,520 3,924,760 1,962,380 981,190 490,595 1,471,786 735,893 2,207,680 1,103,840 551,920 275,960 137,980 68,990 34,495 103,486 51,743

← Previous Integer #8,158,139 Browse Full Index Next Integer #8,158,141 →