3,960,560

2⁴ × 5 × 31 × 1597

3,960,560 is even and not a perfect square. Its factorization is 2^4 × 5 × 31 × 1597 and its 40 divisors sum to 9,511,296.

Prime Factor Structure

Factorization String 2^4 × 5 × 31 × 1597

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 9,511,296

Proper Divisor Sum 5,550,736

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #3960557 ← → #3960581

Radix Representation

Decimal	3960560
Binary	1111000110111011110000 (22 bits)
Octal	0o17067360
Hexadecimal	0x3C6EF0

Divisor Catalog (40)

1 2 4 5 8 10 16 20 31 40 62 80 124 155 248 310 496 620 1,240 1,597 2,480 3,194 6,388 7,985 12,776 15,970 25,552 31,940 49,507 63,880 99,014 127,760 198,028 247,535 396,056 495,070 792,112 990,140 1,980,280 3,960,560

Collatz Trajectory (167 steps to reach 1)

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

3,960,560 1,980,280 990,140 495,070 247,535 742,606 371,303 1,113,910 556,955 1,670,866 835,433 2,506,300 1,253,150 626,575 1,879,726 939,863 2,819,590 1,409,795 4,229,386 2,114,693 6,344,080 3,172,040 1,586,020 793,010 396,505 1,189,516 594,758 297,379 892,138 446,069 1,338,208 669,104 334,552 167,276 83,638 41,819 125,458 62,729 188,188 94,094 47,047 141,142 70,571 211,714 105,857 317,572 158,786 79,393 238,180 119,090 59,545 178,636 89,318 44,659 133,978 66,989 200,968 100,484 50,242 25,121

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