λ
Sigma Notebook

3,964,932

22 × 32 × 241 × 457
Abundant Even Composite

3,964,932 is even and not a perfect square. Its factorization is 2^2 × 3^2 × 241 × 457 and its 36 divisors sum to 10,086,076.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 241 × 457
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 10,086,076
Proper Divisor Sum 6,121,144
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #3964913 ← → #3964937

Radix Representation

Decimal 3964932
Binary 1111001000000000000100 (22 bits)
Octal 0o17100004
Hexadecimal 0x3C8004

Divisor Catalog (36)

1 2 3 4 6 9 12 18 36 241 457 482 723 914 964 1,371 1,446 1,828 2,169 2,742 2,892 4,113 4,338 5,484 8,226 8,676 16,452 110,137 220,274 330,411 440,548 660,822 991,233 1,321,644 1,982,466 3,964,932

Collatz Trajectory (167 steps to reach 1)

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

3,964,932 1,982,466 991,233 2,973,700 1,486,850 743,425 2,230,276 1,115,138 557,569 1,672,708 836,354 418,177 1,254,532 627,266 313,633 940,900 470,450 235,225 705,676 352,838 176,419 529,258 264,629 793,888 396,944 198,472 99,236 49,618 24,809 74,428 37,214 18,607 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 89,423 268,270 134,135 402,406 201,203 603,610 301,805 905,416

More profiles

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