3,632,580

2² × 3³ × 5 × 7 × 31²

3,632,580 has digital root 9. The neighboring primes are 3632579 and 3632599; its proper-divisor sum differs from the starting integer by 6,080,760.

Prime Factor Structure

Factorization String 2^2 × 3^3 × 5 × 7 × 31^2

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 144

Divisor Sum (σ) 13,345,920

Proper Divisor Sum 9,713,340

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #3632579 ← → #3632599

Radix Representation

Decimal	3632580
Binary	1101110110110111000100 (22 bits)
Octal	0o15666704
Hexadecimal	0x376DC4

Divisor Catalog (60 of 144)

1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 31 35 36 42 45 54 60 62 63 70 84 90 93 105 108 124 126 135 140 155 180 186 189 210 217 252 270 279 310 315 372 378 420 434 465 540 558 620 630 651 756 837

Collatz Trajectory (110 steps to reach 1)

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

3,632,580 1,816,290 908,145 2,724,436 1,362,218 681,109 2,043,328 1,021,664 510,832 255,416 127,708 63,854 31,927 95,782 47,891 143,674 71,837 215,512 107,756 53,878 26,939 80,818 40,409 121,228 60,614 30,307 90,922 45,461 136,384 68,192 34,096 17,048 8,524 4,262 2,131 6,394 3,197 9,592 4,796 2,398 1,199 3,598 1,799 5,398 2,699 8,098 4,049 12,148 6,074 3,037 9,112 4,556 2,278 1,139 3,418 1,709 5,128 2,564 1,282 641

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