λ
Modular Archive

3,486,420

22 × 32 × 5 × 7 × 2767
Abundant Even Composite

The decimal integer 3,486,420 is 1101010011001011010100 in binary (22 bits), 15231324 in octal and 3532D4 in hexadecimal. Its digit sum is 27.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 5 × 7 × 2767
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 12,090,624
Proper Divisor Sum 8,604,204
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #3486403 ← → #3486463

Radix Representation

Decimal 3486420
Binary 1101010011001011010100 (22 bits)
Octal 0o15231324
Hexadecimal 0x3532D4

Divisor Catalog (60 of 72)

1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1,260 2,767 5,534 8,301 11,068 13,835 16,602 19,369 24,903 27,670 33,204 38,738 41,505 49,806 55,340 58,107 77,476 83,010 96,845 99,612 116,214 124,515 166,020 174,321 193,690

Collatz Trajectory (53 steps to reach 1)

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

3,486,420 1,743,210 871,605 2,614,816 1,307,408 653,704 326,852 163,426 81,713 245,140 122,570 61,285 183,856 91,928 45,964 22,982 11,491 34,474 17,237 51,712 25,856 12,928 6,464 3,232 1,616 808 404 202 101 304 152 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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