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Atlas › Integer Profiles › Node 3,770,604

3,770,604

22 × 33 × 34913
Abundant Even Composite

3,770,604 factors as 2^2 × 3^3 × 34913. Its 24 positive divisors give a proper-divisor sum of 6,005,316, so this integer is abundant. The Collatz stopping time is 79 steps.

Prime Factor Structure

Factorization String 2^2 × 3^3 × 34913
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 9,775,920
Proper Divisor Sum 6,005,316
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #3770567 ← → #3770659

Radix Representation

Decimal 3770604
Binary 1110011000100011101100 (22 bits)
Octal 0o16304354
Hexadecimal 0x3988EC

Divisor Catalog (24)

1 2 3 4 6 9 12 18 27 36 54 108 34,913 69,826 104,739 139,652 209,478 314,217 418,956 628,434 942,651 1,256,868 1,885,302 3,770,604

Collatz Trajectory (79 steps to reach 1)

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

3,770,604 1,885,302 942,651 2,827,954 1,413,977 4,241,932 2,120,966 1,060,483 3,181,450 1,590,725 4,772,176 2,386,088 1,193,044 596,522 298,261 894,784 447,392 223,696 111,848 55,924 27,962 13,981 41,944 20,972 10,486 5,243 15,730 7,865 23,596 11,798 5,899 17,698 8,849 26,548 13,274 6,637 19,912 9,956 4,978 2,489 7,468 3,734 1,867 5,602 2,801 8,404 4,202 2,101 6,304 3,152 1,576 788 394 197 592 296 148 74 37 112

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