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Atlas › Integer Profiles › Node 3,692,598

3,692,598

2 × 3 × 7 × 13 × 6763
Abundant Even Composite

3,692,598 factors as 2 × 3 × 7 × 13 × 6763. Its 32 positive divisors give a proper-divisor sum of 5,398,218, so this integer is abundant. The Collatz stopping time is 234 steps.

Prime Factor Structure

Factorization String 2 × 3 × 7 × 13 × 6763
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 9,090,816
Proper Divisor Sum 5,398,218
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #3692573 ← → #3692617

Radix Representation

Decimal 3692598
Binary 1110000101100000110110 (22 bits)
Octal 0o16054066
Hexadecimal 0x385836

Divisor Catalog (32)

1 2 3 6 7 13 14 21 26 39 42 78 91 182 273 546 6,763 13,526 20,289 40,578 47,341 87,919 94,682 142,023 175,838 263,757 284,046 527,514 615,433 1,230,866 1,846,299 3,692,598

Collatz Trajectory (234 steps to reach 1)

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

3,692,598 1,846,299 5,538,898 2,769,449 8,308,348 4,154,174 2,077,087 6,231,262 3,115,631 9,346,894 4,673,447 14,020,342 7,010,171 21,030,514 10,515,257 31,545,772 15,772,886 7,886,443 23,659,330 11,829,665 35,488,996 17,744,498 8,872,249 26,616,748 13,308,374 6,654,187 19,962,562 9,981,281 29,943,844 14,971,922 7,485,961 22,457,884 11,228,942 5,614,471 16,843,414 8,421,707 25,265,122 12,632,561 37,897,684 18,948,842 9,474,421 28,423,264 14,211,632 7,105,816 3,552,908 1,776,454 888,227 2,664,682 1,332,341 3,997,024 1,998,512 999,256 499,628 249,814 124,907 374,722 187,361 562,084 281,042 140,521

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