λ
Sigma Notebook

2,012,817

3 × 17 × 61 × 647
Deficient Odd Composite

2,012,817 is odd and not a perfect square. Its factorization is 3 × 17 × 61 × 647 and its 16 divisors sum to 2,892,672.

Prime Factor Structure

Factorization String 3 × 17 × 61 × 647
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 2,892,672
Proper Divisor Sum 879,855
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #2012807 ← → #2012819

Radix Representation

Decimal 2012817
Binary 111101011011010010001 (21 bits)
Octal 0o7533221
Hexadecimal 0x1EB691

Divisor Catalog (16)

1 3 17 51 61 183 647 1,037 1,941 3,111 10,999 32,997 39,467 118,401 670,939 2,012,817

Collatz Trajectory (91 steps to reach 1)

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

2,012,817 6,038,452 3,019,226 1,509,613 4,528,840 2,264,420 1,132,210 566,105 1,698,316 849,158 424,579 1,273,738 636,869 1,910,608 955,304 477,652 238,826 119,413 358,240 179,120 89,560 44,780 22,390 11,195 33,586 16,793 50,380 25,190 12,595 37,786 18,893 56,680 28,340 14,170 7,085 21,256 10,628 5,314 2,657 7,972 3,986 1,993 5,980 2,990 1,495 4,486 2,243 6,730 3,365 10,096 5,048 2,524 1,262 631 1,894 947 2,842 1,421 4,264 2,132

More profiles

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