λ
Sigma Notebook

3,309,815

5 × 17 × 23 × 1693
Deficient Odd Composite

3,309,815 is odd and not a perfect square. Its factorization is 5 × 17 × 23 × 1693 and its 16 divisors sum to 4,390,848.

Prime Factor Structure

Factorization String 5 × 17 × 23 × 1693
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 4,390,848
Proper Divisor Sum 1,081,033
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #3309811 ← → #3309827

Radix Representation

Decimal 3309815
Binary 1100101000000011110111 (22 bits)
Octal 0o14500367
Hexadecimal 0x3280F7

Divisor Catalog (16)

1 5 17 23 85 115 391 1,693 1,955 8,465 28,781 38,939 143,905 194,695 661,963 3,309,815

Collatz Trajectory (146 steps to reach 1)

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

3,309,815 9,929,446 4,964,723 14,894,170 7,447,085 22,341,256 11,170,628 5,585,314 2,792,657 8,377,972 4,188,986 2,094,493 6,283,480 3,141,740 1,570,870 785,435 2,356,306 1,178,153 3,534,460 1,767,230 883,615 2,650,846 1,325,423 3,976,270 1,988,135 5,964,406 2,982,203 8,946,610 4,473,305 13,419,916 6,709,958 3,354,979 10,064,938 5,032,469 15,097,408 7,548,704 3,774,352 1,887,176 943,588 471,794 235,897 707,692 353,846 176,923 530,770 265,385 796,156 398,078 199,039 597,118 298,559 895,678 447,839 1,343,518 671,759 2,015,278 1,007,639 3,022,918 1,511,459 4,534,378

More profiles

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