λ
Integer Codex

3,431,652

22 × 3 × 7 × 40853
Abundant Even Composite

For 3,431,652, the 24 positive divisors have a total of 9,151,296. Removing 3,431,652 leaves 5,719,644, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^2 × 3 × 7 × 40853
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 9,151,296
Proper Divisor Sum 5,719,644
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #3431641 ← → #3431689

Radix Representation

Decimal 3431652
Binary 1101000101110011100100 (22 bits)
Octal 0o15056344
Hexadecimal 0x345CE4

Divisor Catalog (24)

1 2 3 4 6 7 12 14 21 28 42 84 40,853 81,706 122,559 163,412 245,118 285,971 490,236 571,942 857,913 1,143,884 1,715,826 3,431,652

Collatz Trajectory (115 steps to reach 1)

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

3,431,652 1,715,826 857,913 2,573,740 1,286,870 643,435 1,930,306 965,153 2,895,460 1,447,730 723,865 2,171,596 1,085,798 542,899 1,628,698 814,349 2,443,048 1,221,524 610,762 305,381 916,144 458,072 229,036 114,518 57,259 171,778 85,889 257,668 128,834 64,417 193,252 96,626 48,313 144,940 72,470 36,235 108,706 54,353 163,060 81,530 40,765 122,296 61,148 30,574 15,287 45,862 22,931 68,794 34,397 103,192 51,596 25,798 12,899 38,698 19,349 58,048 29,024 14,512 7,256 3,628

More profiles

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