3,645,008

2⁴ × 409 × 557

3,645,008 has digital root 8. The neighboring primes are 3645007 and 3645013; its proper-divisor sum differs from the starting integer by -197,836.

Prime Factor Structure

Factorization String 2^4 × 409 × 557

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 7,092,180

Proper Divisor Sum 3,447,172

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #3645007 ← → #3645013

Radix Representation

Decimal	3645008
Binary	1101111001111001010000 (22 bits)
Octal	0o15717120
Hexadecimal	0x379E50

Divisor Catalog (20)

1 2 4 8 16 409 557 818 1,114 1,636 2,228 3,272 4,456 6,544 8,912 227,813 455,626 911,252 1,822,504 3,645,008

Collatz Trajectory (58 steps to reach 1)

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

3,645,008 1,822,504 911,252 455,626 227,813 683,440 341,720 170,860 85,430 42,715 128,146 64,073 192,220 96,110 48,055 144,166 72,083 216,250 108,125 324,376 162,188 81,094 40,547 121,642 60,821 182,464 91,232 45,616 22,808 11,404 5,702 2,851 8,554 4,277 12,832 6,416 3,208 1,604 802 401 1,204 602 301 904 452 226 113 340 170 85 256 128 64 32 16 8 4 2 1

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