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Atlas › Integer Profiles › Node 4,672,188

4,672,188

22 × 33 × 43261
Abundant Even Composite

4,672,188 factors as 2^2 × 3^3 × 43261. Its 24 positive divisors give a proper-divisor sum of 7,441,172, so this integer is abundant. The Collatz stopping time is 154 steps.

Prime Factor Structure

Factorization String 2^2 × 3^3 × 43261
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 12,113,360
Proper Divisor Sum 7,441,172
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #4672181 ← → #4672189

Radix Representation

Decimal 4672188
Binary 10001110100101010111100 (23 bits)
Octal 0o21645274
Hexadecimal 0x474ABC

Divisor Catalog (24)

1 2 3 4 6 9 12 18 27 36 54 108 43,261 86,522 129,783 173,044 259,566 389,349 519,132 778,698 1,168,047 1,557,396 2,336,094 4,672,188

Collatz Trajectory (154 steps to reach 1)

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

4,672,188 2,336,094 1,168,047 3,504,142 1,752,071 5,256,214 2,628,107 7,884,322 3,942,161 11,826,484 5,913,242 2,956,621 8,869,864 4,434,932 2,217,466 1,108,733 3,326,200 1,663,100 831,550 415,775 1,247,326 623,663 1,870,990 935,495 2,806,486 1,403,243 4,209,730 2,104,865 6,314,596 3,157,298 1,578,649 4,735,948 2,367,974 1,183,987 3,551,962 1,775,981 5,327,944 2,663,972 1,331,986 665,993 1,997,980 998,990 499,495 1,498,486 749,243 2,247,730 1,123,865 3,371,596 1,685,798 842,899 2,528,698 1,264,349 3,793,048 1,896,524 948,262 474,131 1,422,394 711,197 2,133,592 1,066,796

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