6,766,401

3 × 31² × 2347

6,766,401 is odd and not a perfect square. Its factorization is 3 × 31^2 × 2347 and its 12 divisors sum to 9,326,256.

Prime Factor Structure

Factorization String 3 × 31^2 × 2347

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 9,326,256

Proper Divisor Sum 2,559,855

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #6766399 ← → #6766411

Radix Representation

Decimal	6766401
Binary	11001110011111101000001 (23 bits)
Octal	0o31637501
Hexadecimal	0x673F41

Divisor Catalog (12)

1 3 31 93 961 2,347 2,883 7,041 72,757 218,271 2,255,467 6,766,401

Collatz Trajectory (134 steps to reach 1)

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

6,766,401 20,299,204 10,149,602 5,074,801 15,224,404 7,612,202 3,806,101 11,418,304 5,709,152 2,854,576 1,427,288 713,644 356,822 178,411 535,234 267,617 802,852 401,426 200,713 602,140 301,070 150,535 451,606 225,803 677,410 338,705 1,016,116 508,058 254,029 762,088 381,044 190,522 95,261 285,784 142,892 71,446 35,723 107,170 53,585 160,756 80,378 40,189 120,568 60,284 30,142 15,071 45,214 22,607 67,822 33,911 101,734 50,867 152,602 76,301 228,904 114,452 57,226 28,613 85,840 42,920

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