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Atlas › Integer Profiles › Node 3,751,280

3,751,280

24 × 5 × 13 × 3607
Abundant Even Composite

3,751,280 factors as 2^4 × 5 × 13 × 3607. Its 40 positive divisors give a proper-divisor sum of 5,643,952, so this integer is abundant. The Collatz stopping time is 110 steps.

Prime Factor Structure

Factorization String 2^4 × 5 × 13 × 3607
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 9,395,232
Proper Divisor Sum 5,643,952
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #3751273 ← → #3751283

Radix Representation

Decimal 3751280
Binary 1110010011110101110000 (22 bits)
Octal 0o16236560
Hexadecimal 0x393D70

Divisor Catalog (40)

1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1,040 3,607 7,214 14,428 18,035 28,856 36,070 46,891 57,712 72,140 93,782 144,280 187,564 234,455 288,560 375,128 468,910 750,256 937,820 1,875,640 3,751,280

Collatz Trajectory (110 steps to reach 1)

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

3,751,280 1,875,640 937,820 468,910 234,455 703,366 351,683 1,055,050 527,525 1,582,576 791,288 395,644 197,822 98,911 296,734 148,367 445,102 222,551 667,654 333,827 1,001,482 500,741 1,502,224 751,112 375,556 187,778 93,889 281,668 140,834 70,417 211,252 105,626 52,813 158,440 79,220 39,610 19,805 59,416 29,708 14,854 7,427 22,282 11,141 33,424 16,712 8,356 4,178 2,089 6,268 3,134 1,567 4,702 2,351 7,054 3,527 10,582 5,291 15,874 7,937 23,812

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