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Atlas › Integer Profiles › Node 4,686,136

4,686,136

23 × 7 × 13 × 41 × 157
Abundant Even Composite

4,686,136 factors as 2^3 × 7 × 13 × 41 × 157. Its 64 positive divisors give a proper-divisor sum of 6,462,344, so this integer is abundant. The Collatz stopping time is 100 steps.

Prime Factor Structure

Factorization String 2^3 × 7 × 13 × 41 × 157
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 11,148,480
Proper Divisor Sum 6,462,344
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #4686133 ← → #4686137

Radix Representation

Decimal 4686136
Binary 10001111000000100111000 (23 bits)
Octal 0o21700470
Hexadecimal 0x478138

Divisor Catalog (60 of 64)

1 2 4 7 8 13 14 26 28 41 52 56 82 91 104 157 164 182 287 314 328 364 533 574 628 728 1,066 1,099 1,148 1,256 2,041 2,132 2,198 2,296 3,731 4,082 4,264 4,396 6,437 7,462 8,164 8,792 12,874 14,287 14,924 16,328 25,748 28,574 29,848 45,059 51,496 57,148 83,681 90,118 114,296 167,362 180,236 334,724 360,472 585,767

Collatz Trajectory (100 steps to reach 1)

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

4,686,136 2,343,068 1,171,534 585,767 1,757,302 878,651 2,635,954 1,317,977 3,953,932 1,976,966 988,483 2,965,450 1,482,725 4,448,176 2,224,088 1,112,044 556,022 278,011 834,034 417,017 1,251,052 625,526 312,763 938,290 469,145 1,407,436 703,718 351,859 1,055,578 527,789 1,583,368 791,684 395,842 197,921 593,764 296,882 148,441 445,324 222,662 111,331 333,994 166,997 500,992 250,496 125,248 62,624 31,312 15,656 7,828 3,914 1,957 5,872 2,936 1,468 734 367 1,102 551 1,654 827

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