3,629,836

2² × 7 × 19 × 6823

3,629,836 has the prime decomposition 2^2 × 7 × 19 × 6823. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 7 × 19 × 6823

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 7,642,880

Proper Divisor Sum 4,013,044

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #3629831 ← → #3629863

Radix Representation

Decimal	3629836
Binary	1101110110001100001100 (22 bits)
Octal	0o15661414
Hexadecimal	0x37630C

Divisor Catalog (24)

1 2 4 7 14 19 28 38 76 133 266 532 6,823 13,646 27,292 47,761 95,522 129,637 191,044 259,274 518,548 907,459 1,814,918 3,629,836

Collatz Trajectory (159 steps to reach 1)

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

3,629,836 1,814,918 907,459 2,722,378 1,361,189 4,083,568 2,041,784 1,020,892 510,446 255,223 765,670 382,835 1,148,506 574,253 1,722,760 861,380 430,690 215,345 646,036 323,018 161,509 484,528 242,264 121,132 60,566 30,283 90,850 45,425 136,276 68,138 34,069 102,208 51,104 25,552 12,776 6,388 3,194 1,597 4,792 2,396 1,198 599 1,798 899 2,698 1,349 4,048 2,024 1,012 506 253 760 380 190 95 286 143 430 215 646

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