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Atlas › Integer Profiles › Node 3,968,136

3,968,136

23 × 33 × 18371
Abundant Even Composite

3,968,136 factors as 2^3 × 3^3 × 18371. Its 32 positive divisors give a proper-divisor sum of 7,055,064, so this integer is abundant. The Collatz stopping time is 185 steps.

Prime Factor Structure

Factorization String 2^3 × 3^3 × 18371
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 11,023,200
Proper Divisor Sum 7,055,064
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #3968113 ← → #3968137

Radix Representation

Decimal 3968136
Binary 1111001000110010001000 (22 bits)
Octal 0o17106210
Hexadecimal 0x3C8C88

Divisor Catalog (32)

1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 18,371 36,742 55,113 73,484 110,226 146,968 165,339 220,452 330,678 440,904 496,017 661,356 992,034 1,322,712 1,984,068 3,968,136

Collatz Trajectory (185 steps to reach 1)

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

3,968,136 1,984,068 992,034 496,017 1,488,052 744,026 372,013 1,116,040 558,020 279,010 139,505 418,516 209,258 104,629 313,888 156,944 78,472 39,236 19,618 9,809 29,428 14,714 7,357 22,072 11,036 5,518 2,759 8,278 4,139 12,418 6,209 18,628 9,314 4,657 13,972 6,986 3,493 10,480 5,240 2,620 1,310 655 1,966 983 2,950 1,475 4,426 2,213 6,640 3,320 1,660 830 415 1,246 623 1,870 935 2,806 1,403 4,210

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