λ
Ratio Atlas

8,136,758

2 × 7 × 581197
Deficient Even Composite

8,136,758 factors as 2 × 7 × 581197. Its 8 positive divisors give a proper-divisor sum of 5,811,994, so this integer is deficient. The Collatz stopping time is 199 steps.

Prime Factor Structure

Factorization String 2 × 7 × 581197
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 13,948,752
Proper Divisor Sum 5,811,994
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #8136743 ← → #8136833

Radix Representation

Decimal 8136758
Binary 11111000010100000110110 (23 bits)
Octal 0o37024066
Hexadecimal 0x7C2836

Divisor Catalog (8)

Collatz Trajectory (199 steps to reach 1)

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

8,136,758 4,068,379 12,205,138 6,102,569 18,307,708 9,153,854 4,576,927 13,730,782 6,865,391 20,596,174 10,298,087 30,894,262 15,447,131 46,341,394 23,170,697 69,512,092 34,756,046 17,378,023 52,134,070 26,067,035 78,201,106 39,100,553 117,301,660 58,650,830 29,325,415 87,976,246 43,988,123 131,964,370 65,982,185 197,946,556 98,973,278 49,486,639 148,459,918 74,229,959 222,689,878 111,344,939 334,034,818 167,017,409 501,052,228 250,526,114 125,263,057 375,789,172 187,894,586 93,947,293 281,841,880 140,920,940 70,460,470 35,230,235 105,690,706 52,845,353 158,536,060 79,268,030 39,634,015 118,902,046 59,451,023 178,353,070 89,176,535 267,529,606 133,764,803 401,294,410

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