λ
Sigma Notebook

3,526,836

22 × 3 × 83 × 3541
Abundant Even Composite

3,526,836 is even and not a perfect square. Its factorization is 2^2 × 3 × 83 × 3541 and its 24 divisors sum to 8,330,784.

Prime Factor Structure

Factorization String 2^2 × 3 × 83 × 3541
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 8,330,784
Proper Divisor Sum 4,803,948
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #3526793 ← → #3526867

Radix Representation

Decimal 3526836
Binary 1101011101000010110100 (22 bits)
Octal 0o15350264
Hexadecimal 0x35D0B4

Divisor Catalog (24)

1 2 3 4 6 12 83 166 249 332 498 996 3,541 7,082 10,623 14,164 21,246 42,492 293,903 587,806 881,709 1,175,612 1,763,418 3,526,836

Collatz Trajectory (66 steps to reach 1)

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

3,526,836 1,763,418 881,709 2,645,128 1,322,564 661,282 330,641 991,924 495,962 247,981 743,944 371,972 185,986 92,993 278,980 139,490 69,745 209,236 104,618 52,309 156,928 78,464 39,232 19,616 9,808 4,904 2,452 1,226 613 1,840 920 460 230 115 346 173 520 260 130 65 196 98 49 148 74 37 112 56 28 14 7 22 11 34 17 52 26 13 40 20

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