λ
Sigma Notebook

3,697,741

3697741
Deficient Odd Prime

3,697,741 is odd and not a perfect square. Its factorization is 3697741 and its 2 divisors sum to 3,697,742.

Prime Factor Structure

Factorization String 3697741
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 3,697,742
Proper Divisor Sum 1
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #3697717 ← → #3697777

Radix Representation

Decimal 3697741
Binary 1110000110110001001101 (22 bits)
Octal 0o16066115
Hexadecimal 0x386C4D

Divisor Catalog (2)

Collatz Trajectory (84 steps to reach 1)

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

3,697,741 11,093,224 5,546,612 2,773,306 1,386,653 4,159,960 2,079,980 1,039,990 519,995 1,559,986 779,993 2,339,980 1,169,990 584,995 1,754,986 877,493 2,632,480 1,316,240 658,120 329,060 164,530 82,265 246,796 123,398 61,699 185,098 92,549 277,648 138,824 69,412 34,706 17,353 52,060 26,030 13,015 39,046 19,523 58,570 29,285 87,856 43,928 21,964 10,982 5,491 16,474 8,237 24,712 12,356 6,178 3,089 9,268 4,634 2,317 6,952 3,476 1,738 869 2,608 1,304 652

More profiles

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