λ
Sigma Notebook

3,931,209

32 × 436801
Deficient Odd Composite

3,931,209 is odd and not a perfect square. Its factorization is 3^2 × 436801 and its 6 divisors sum to 5,678,426.

Prime Factor Structure

Factorization String 3^2 × 436801
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 5,678,426
Proper Divisor Sum 1,747,217
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #3931177 ← → #3931231

Radix Representation

Decimal 3931209
Binary 1110111111110001001001 (22 bits)
Octal 0o16776111
Hexadecimal 0x3BFC49

Divisor Catalog (6)

1 3 9 436,801 1,310,403 3,931,209

Collatz Trajectory (172 steps to reach 1)

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

3,931,209 11,793,628 5,896,814 2,948,407 8,845,222 4,422,611 13,267,834 6,633,917 19,901,752 9,950,876 4,975,438 2,487,719 7,463,158 3,731,579 11,194,738 5,597,369 16,792,108 8,396,054 4,198,027 12,594,082 6,297,041 18,891,124 9,445,562 4,722,781 14,168,344 7,084,172 3,542,086 1,771,043 5,313,130 2,656,565 7,969,696 3,984,848 1,992,424 996,212 498,106 249,053 747,160 373,580 186,790 93,395 280,186 140,093 420,280 210,140 105,070 52,535 157,606 78,803 236,410 118,205 354,616 177,308 88,654 44,327 132,982 66,491 199,474 99,737 299,212 149,606

More profiles

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