λ
Sigma Notebook

6,685,840

24 × 5 × 7 × 11939
Abundant Even Composite

6,685,840 is even and not a perfect square. Its factorization is 2^4 × 5 × 7 × 11939 and its 40 divisors sum to 17,766,720.

Prime Factor Structure

Factorization String 2^4 × 5 × 7 × 11939
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 17,766,720
Proper Divisor Sum 11,080,880
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #6685837 ← → #6685843

Radix Representation

Decimal 6685840
Binary 11001100000010010010000 (23 bits)
Octal 0o31402220
Hexadecimal 0x660490

Divisor Catalog (40)

1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 11,939 23,878 47,756 59,695 83,573 95,512 119,390 167,146 191,024 238,780 334,292 417,865 477,560 668,584 835,730 955,120 1,337,168 1,671,460 3,342,920 6,685,840

Collatz Trajectory (191 steps to reach 1)

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

6,685,840 3,342,920 1,671,460 835,730 417,865 1,253,596 626,798 313,399 940,198 470,099 1,410,298 705,149 2,115,448 1,057,724 528,862 264,431 793,294 396,647 1,189,942 594,971 1,784,914 892,457 2,677,372 1,338,686 669,343 2,008,030 1,004,015 3,012,046 1,506,023 4,518,070 2,259,035 6,777,106 3,388,553 10,165,660 5,082,830 2,541,415 7,624,246 3,812,123 11,436,370 5,718,185 17,154,556 8,577,278 4,288,639 12,865,918 6,432,959 19,298,878 9,649,439 28,948,318 14,474,159 43,422,478 21,711,239 65,133,718 32,566,859 97,700,578 48,850,289 146,550,868 73,275,434 36,637,717 109,913,152 54,956,576

More profiles

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