λ
Sigma Notebook

8,355,212

22 × 19 × 109937
Deficient Even Composite

8,355,212 is even and not a perfect square. Its factorization is 2^2 × 19 × 109937 and its 12 divisors sum to 15,391,320.

Prime Factor Structure

Factorization String 2^2 × 19 × 109937
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 15,391,320
Proper Divisor Sum 7,036,108
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #8355199 ← → #8355223

Radix Representation

Decimal 8355212
Binary 11111110111110110001100 (23 bits)
Octal 0o37676614
Hexadecimal 0x7F7D8C

Divisor Catalog (12)

1 2 4 19 38 76 109,937 219,874 439,748 2,088,803 4,177,606 8,355,212

Collatz Trajectory (75 steps to reach 1)

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

8,355,212 4,177,606 2,088,803 6,266,410 3,133,205 9,399,616 4,699,808 2,349,904 1,174,952 587,476 293,738 146,869 440,608 220,304 110,152 55,076 27,538 13,769 41,308 20,654 10,327 30,982 15,491 46,474 23,237 69,712 34,856 17,428 8,714 4,357 13,072 6,536 3,268 1,634 817 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

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