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Atlas › Integer Profiles › Node 3,608,904

3,608,904

23 × 3 × 13 × 43 × 269
Abundant Even Composite

3,608,904 factors as 2^3 × 3 × 13 × 43 × 269. Its 64 positive divisors give a proper-divisor sum of 6,370,296, so this integer is abundant. The Collatz stopping time is 141 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 13 × 43 × 269
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 9,979,200
Proper Divisor Sum 6,370,296
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #3608903 ← → #3608909

Radix Representation

Decimal 3608904
Binary 1101110001000101001000 (22 bits)
Octal 0o15610510
Hexadecimal 0x371148

Divisor Catalog (60 of 64)

1 2 3 4 6 8 12 13 24 26 39 43 52 78 86 104 129 156 172 258 269 312 344 516 538 559 807 1,032 1,076 1,118 1,614 1,677 2,152 2,236 3,228 3,354 3,497 4,472 6,456 6,708 6,994 10,491 11,567 13,416 13,988 20,982 23,134 27,976 34,701 41,964 46,268 69,402 83,928 92,536 138,804 150,371 277,608 300,742 451,113 601,484

Collatz Trajectory (141 steps to reach 1)

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

3,608,904 1,804,452 902,226 451,113 1,353,340 676,670 338,335 1,015,006 507,503 1,522,510 761,255 2,283,766 1,141,883 3,425,650 1,712,825 5,138,476 2,569,238 1,284,619 3,853,858 1,926,929 5,780,788 2,890,394 1,445,197 4,335,592 2,167,796 1,083,898 541,949 1,625,848 812,924 406,462 203,231 609,694 304,847 914,542 457,271 1,371,814 685,907 2,057,722 1,028,861 3,086,584 1,543,292 771,646 385,823 1,157,470 578,735 1,736,206 868,103 2,604,310 1,302,155 3,906,466 1,953,233 5,859,700 2,929,850 1,464,925 4,394,776 2,197,388 1,098,694 549,347 1,648,042 824,021

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