2,836,640

2⁵ × 5 × 17729

2,836,640 is even and not a perfect square. Its factorization is 2^5 × 5 × 17729 and its 24 divisors sum to 6,701,940.

Prime Factor Structure

Factorization String 2^5 × 5 × 17729

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 6,701,940

Proper Divisor Sum 3,865,300

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #2836633 ← → #2836651

Radix Representation

Decimal	2836640
Binary	1010110100100010100000 (22 bits)
Octal	0o12644240
Hexadecimal	0x2B48A0

Divisor Catalog (24)

1 2 4 5 8 10 16 20 32 40 80 160 17,729 35,458 70,916 88,645 141,832 177,290 283,664 354,580 567,328 709,160 1,418,320 2,836,640

Collatz Trajectory (76 steps to reach 1)

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

2,836,640 1,418,320 709,160 354,580 177,290 88,645 265,936 132,968 66,484 33,242 16,621 49,864 24,932 12,466 6,233 18,700 9,350 4,675 14,026 7,013 21,040 10,520 5,260 2,630 1,315 3,946 1,973 5,920 2,960 1,480 740 370 185 556 278 139 418 209 628 314 157 472 236 118 59 178 89 268 134 67 202 101 304 152 76 38 19 58 29 88

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