λ
Sigma Notebook

3,333,037

172 × 19 × 607
Deficient Odd Composite

3,333,037 is odd and not a perfect square. Its factorization is 17^2 × 19 × 607 and its 12 divisors sum to 3,733,120.

Prime Factor Structure

Factorization String 17^2 × 19 × 607
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 3,733,120
Proper Divisor Sum 400,083
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #3333019 ← → #3333047

Radix Representation

Decimal 3333037
Binary 1100101101101110101101 (22 bits)
Octal 0o14555655
Hexadecimal 0x32DBAD

Divisor Catalog (12)

1 17 19 289 323 607 5,491 10,319 11,533 175,423 196,061 3,333,037

Collatz Trajectory (190 steps to reach 1)

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

3,333,037 9,999,112 4,999,556 2,499,778 1,249,889 3,749,668 1,874,834 937,417 2,812,252 1,406,126 703,063 2,109,190 1,054,595 3,163,786 1,581,893 4,745,680 2,372,840 1,186,420 593,210 296,605 889,816 444,908 222,454 111,227 333,682 166,841 500,524 250,262 125,131 375,394 187,697 563,092 281,546 140,773 422,320 211,160 105,580 52,790 26,395 79,186 39,593 118,780 59,390 29,695 89,086 44,543 133,630 66,815 200,446 100,223 300,670 150,335 451,006 225,503 676,510 338,255 1,014,766 507,383 1,522,150 761,075

More profiles

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