λ
Sigma Notebook

3,302,105

5 × 19 × 34759
Deficient Odd Composite

3,302,105 is odd and not a perfect square. Its factorization is 5 × 19 × 34759 and its 8 divisors sum to 4,171,200.

Prime Factor Structure

Factorization String 5 × 19 × 34759
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 4,171,200
Proper Divisor Sum 869,095
Digit Sum / Digital Root 14 (Root: 5)
Adjacent Primes #3302083 ← → #3302107

Radix Representation

Decimal 3302105
Binary 1100100110001011011001 (22 bits)
Octal 0o14461331
Hexadecimal 0x3262D9

Divisor Catalog (8)

1 5 19 95 34,759 173,795 660,421 3,302,105

Collatz Trajectory (208 steps to reach 1)

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

3,302,105 9,906,316 4,953,158 2,476,579 7,429,738 3,714,869 11,144,608 5,572,304 2,786,152 1,393,076 696,538 348,269 1,044,808 522,404 261,202 130,601 391,804 195,902 97,951 293,854 146,927 440,782 220,391 661,174 330,587 991,762 495,881 1,487,644 743,822 371,911 1,115,734 557,867 1,673,602 836,801 2,510,404 1,255,202 627,601 1,882,804 941,402 470,701 1,412,104 706,052 353,026 176,513 529,540 264,770 132,385 397,156 198,578 99,289 297,868 148,934 74,467 223,402 111,701 335,104 167,552 83,776 41,888 20,944

More profiles

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