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Atlas › Integer Profiles › Node 3,104,040

3,104,040

23 × 3 × 5 × 25867
Abundant Even Composite

3,104,040 factors as 2^3 × 3 × 5 × 25867. Its 32 positive divisors give a proper-divisor sum of 6,208,440, so this integer is abundant. The Collatz stopping time is 89 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 5 × 25867
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 9,312,480
Proper Divisor Sum 6,208,440
Digit Sum / Digital Root 12 (Root: 3)
Adjacent Primes #3103981 ← → #3104063

Radix Representation

Decimal 3104040
Binary 1011110101110100101000 (22 bits)
Octal 0o13656450
Hexadecimal 0x2F5D28

Divisor Catalog (32)

1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 25,867 51,734 77,601 103,468 129,335 155,202 206,936 258,670 310,404 388,005 517,340 620,808 776,010 1,034,680 1,552,020 3,104,040

Collatz Trajectory (89 steps to reach 1)

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

3,104,040 1,552,020 776,010 388,005 1,164,016 582,008 291,004 145,502 72,751 218,254 109,127 327,382 163,691 491,074 245,537 736,612 368,306 184,153 552,460 276,230 138,115 414,346 207,173 621,520 310,760 155,380 77,690 38,845 116,536 58,268 29,134 14,567 43,702 21,851 65,554 32,777 98,332 49,166 24,583 73,750 36,875 110,626 55,313 165,940 82,970 41,485 124,456 62,228 31,114 15,557 46,672 23,336 11,668 5,834 2,917 8,752 4,376 2,188 1,094 547

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