λ
Sigma Notebook

3,708,729

32 × 412081
Deficient Odd Composite

3,708,729 is odd and not a perfect square. Its factorization is 3^2 × 412081 and its 6 divisors sum to 5,357,066.

Prime Factor Structure

Factorization String 3^2 × 412081
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 5,357,066
Proper Divisor Sum 1,648,337
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #3708709 ← → #3708751

Radix Representation

Decimal 3708729
Binary 1110001001011100111001 (22 bits)
Octal 0o16113471
Hexadecimal 0x389739

Divisor Catalog (6)

1 3 9 412,081 1,236,243 3,708,729

Collatz Trajectory (110 steps to reach 1)

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

3,708,729 11,126,188 5,563,094 2,781,547 8,344,642 4,172,321 12,516,964 6,258,482 3,129,241 9,387,724 4,693,862 2,346,931 7,040,794 3,520,397 10,561,192 5,280,596 2,640,298 1,320,149 3,960,448 1,980,224 990,112 495,056 247,528 123,764 61,882 30,941 92,824 46,412 23,206 11,603 34,810 17,405 52,216 26,108 13,054 6,527 19,582 9,791 29,374 14,687 44,062 22,031 66,094 33,047 99,142 49,571 148,714 74,357 223,072 111,536 55,768 27,884 13,942 6,971 20,914 10,457 31,372 15,686 7,843 23,530

More profiles

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