λ
Modular Archive

3,630,084

22 × 3 × 302507
Abundant Even Composite

The decimal integer 3,630,084 is 1101110110010000000100 in binary (22 bits), 15662004 in octal and 376404 in hexadecimal. Its digit sum is 24.

Prime Factor Structure

Factorization String 2^2 × 3 × 302507
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 8,470,224
Proper Divisor Sum 4,840,140
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #3630047 ← → #3630097

Radix Representation

Decimal 3630084
Binary 1101110110010000000100 (22 bits)
Octal 0o15662004
Hexadecimal 0x376404

Divisor Catalog (12)

1 2 3 4 6 12 302,507 605,014 907,521 1,210,028 1,815,042 3,630,084

Collatz Trajectory (66 steps to reach 1)

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

3,630,084 1,815,042 907,521 2,722,564 1,361,282 680,641 2,041,924 1,020,962 510,481 1,531,444 765,722 382,861 1,148,584 574,292 287,146 143,573 430,720 215,360 107,680 53,840 26,920 13,460 6,730 3,365 10,096 5,048 2,524 1,262 631 1,894 947 2,842 1,421 4,264 2,132 1,066 533 1,600 800 400 200 100 50 25 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40 20

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