3,604,896

2⁵ × 3² × 12517

3,604,896 has digital root 9. The neighboring primes are 3604891 and 3604907; its proper-divisor sum differs from the starting integer by 3,042,450.

Prime Factor Structure

Factorization String 2^5 × 3^2 × 12517

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 10,252,242

Proper Divisor Sum 6,647,346

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #3604891 ← → #3604907

Radix Representation

Decimal	3604896
Binary	1101110000000110100000 (22 bits)
Octal	0o15600640
Hexadecimal	0x3701A0

Divisor Catalog (36)

1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 12,517 25,034 37,551 50,068 75,102 100,136 112,653 150,204 200,272 225,306 300,408 400,544 450,612 600,816 901,224 1,201,632 1,802,448 3,604,896

Collatz Trajectory (66 steps to reach 1)

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

3,604,896 1,802,448 901,224 450,612 225,306 112,653 337,960 168,980 84,490 42,245 126,736 63,368 31,684 15,842 7,921 23,764 11,882 5,941 17,824 8,912 4,456 2,228 1,114 557 1,672 836 418 209 628 314 157 472 236 118 59 178 89 268 134 67 202 101 304 152 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40 20

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