λ
Sigma Notebook

3,190,419

32 × 107 × 3313
Deficient Odd Composite

3,190,419 is odd and not a perfect square. Its factorization is 3^2 × 107 × 3313 and its 12 divisors sum to 4,652,856.

Prime Factor Structure

Factorization String 3^2 × 107 × 3313
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 4,652,856
Proper Divisor Sum 1,462,437
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #3190417 ← → #3190457

Radix Representation

Decimal 3190419
Binary 1100001010111010010011 (22 bits)
Octal 0o14127223
Hexadecimal 0x30AE93

Divisor Catalog (12)

1 3 9 107 321 963 3,313 9,939 29,817 354,491 1,063,473 3,190,419

Collatz Trajectory (133 steps to reach 1)

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

3,190,419 9,571,258 4,785,629 14,356,888 7,178,444 3,589,222 1,794,611 5,383,834 2,691,917 8,075,752 4,037,876 2,018,938 1,009,469 3,028,408 1,514,204 757,102 378,551 1,135,654 567,827 1,703,482 851,741 2,555,224 1,277,612 638,806 319,403 958,210 479,105 1,437,316 718,658 359,329 1,077,988 538,994 269,497 808,492 404,246 202,123 606,370 303,185 909,556 454,778 227,389 682,168 341,084 170,542 85,271 255,814 127,907 383,722 191,861 575,584 287,792 143,896 71,948 35,974 17,987 53,962 26,981 80,944 40,472 20,236

More profiles

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