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Atlas › Integer Profiles › Node 3,609,684

3,609,684

22 × 34 × 13 × 857
Abundant Even Composite

3,609,684 factors as 2^2 × 3^4 × 13 × 857. Its 60 positive divisors give a proper-divisor sum of 6,564,480, so this integer is abundant. The Collatz stopping time is 89 steps.

Prime Factor Structure

Factorization String 2^2 × 3^4 × 13 × 857
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 60
Divisor Sum (σ) 10,174,164
Proper Divisor Sum 6,564,480
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #3609673 ← → #3609703

Radix Representation

Decimal 3609684
Binary 1101110001010001010100 (22 bits)
Octal 0o15612124
Hexadecimal 0x371454

Divisor Catalog (60)

1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 156 162 234 324 351 468 702 857 1,053 1,404 1,714 2,106 2,571 3,428 4,212 5,142 7,713 10,284 11,141 15,426 22,282 23,139 30,852 33,423 44,564 46,278 66,846 69,417 92,556 100,269 133,692 138,834 200,538 277,668 300,807 401,076 601,614 902,421 1,203,228 1,804,842 3,609,684

Collatz Trajectory (89 steps to reach 1)

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

3,609,684 1,804,842 902,421 2,707,264 1,353,632 676,816 338,408 169,204 84,602 42,301 126,904 63,452 31,726 15,863 47,590 23,795 71,386 35,693 107,080 53,540 26,770 13,385 40,156 20,078 10,039 30,118 15,059 45,178 22,589 67,768 33,884 16,942 8,471 25,414 12,707 38,122 19,061 57,184 28,592 14,296 7,148 3,574 1,787 5,362 2,681 8,044 4,022 2,011 6,034 3,017 9,052 4,526 2,263 6,790 3,395 10,186 5,093 15,280 7,640 3,820

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