λ
Sigma Notebook

2,000,308

22 × 41 × 12197
Deficient Even Composite

2,000,308 is even and not a perfect square. Its factorization is 2^2 × 41 × 12197 and its 12 divisors sum to 3,586,212.

Prime Factor Structure

Factorization String 2^2 × 41 × 12197
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 3,586,212
Proper Divisor Sum 1,585,904
Digit Sum / Digital Root 13 (Root: 4)
Adjacent Primes #2000303 ← → #2000309

Radix Representation

Decimal 2000308
Binary 111101000010110110100 (21 bits)
Octal 0o7502664
Hexadecimal 0x1E85B4

Divisor Catalog (12)

1 2 4 41 82 164 12,197 24,394 48,788 500,077 1,000,154 2,000,308

Collatz Trajectory (140 steps to reach 1)

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

2,000,308 1,000,154 500,077 1,500,232 750,116 375,058 187,529 562,588 281,294 140,647 421,942 210,971 632,914 316,457 949,372 474,686 237,343 712,030 356,015 1,068,046 534,023 1,602,070 801,035 2,403,106 1,201,553 3,604,660 1,802,330 901,165 2,703,496 1,351,748 675,874 337,937 1,013,812 506,906 253,453 760,360 380,180 190,090 95,045 285,136 142,568 71,284 35,642 17,821 53,464 26,732 13,366 6,683 20,050 10,025 30,076 15,038 7,519 22,558 11,279 33,838 16,919 50,758 25,379 76,138

More profiles

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