λ
Harmonic Matrix

3,524,406

2 × 3 × 17 × 109 × 317
Abundant Even Composite

3,524,406 has digital root 6. The neighboring primes are 3524393 and 3524407; its proper-divisor sum differs from the starting integer by 506,868.

Prime Factor Structure

Factorization String 2 × 3 × 17 × 109 × 317
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 7,555,680
Proper Divisor Sum 4,031,274
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #3524393 ← → #3524407

Radix Representation

Decimal 3524406
Binary 1101011100011100110110 (22 bits)
Octal 0o15343466
Hexadecimal 0x35C736

Divisor Catalog (32)

1 2 3 6 17 34 51 102 109 218 317 327 634 654 951 1,853 1,902 3,706 5,389 5,559 10,778 11,118 16,167 32,334 34,553 69,106 103,659 207,318 587,401 1,174,802 1,762,203 3,524,406

Collatz Trajectory (172 steps to reach 1)

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

3,524,406 1,762,203 5,286,610 2,643,305 7,929,916 3,964,958 1,982,479 5,947,438 2,973,719 8,921,158 4,460,579 13,381,738 6,690,869 20,072,608 10,036,304 5,018,152 2,509,076 1,254,538 627,269 1,881,808 940,904 470,452 235,226 117,613 352,840 176,420 88,210 44,105 132,316 66,158 33,079 99,238 49,619 148,858 74,429 223,288 111,644 55,822 27,911 83,734 41,867 125,602 62,801 188,404 94,202 47,101 141,304 70,652 35,326 17,663 52,990 26,495 79,486 39,743 119,230 59,615 178,846 89,423 268,270 134,135

More profiles

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