λ
Sigma Notebook

3,496,905

33 × 5 × 25903
Deficient Odd Composite

3,496,905 is odd and not a perfect square. Its factorization is 3^3 × 5 × 25903 and its 16 divisors sum to 6,216,960.

Prime Factor Structure

Factorization String 3^3 × 5 × 25903
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 6,216,960
Proper Divisor Sum 2,720,055
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #3496901 ← → #3496937

Radix Representation

Decimal 3496905
Binary 1101010101101111001001 (22 bits)
Octal 0o15255711
Hexadecimal 0x355BC9

Divisor Catalog (16)

1 3 5 9 15 27 45 135 25,903 77,709 129,515 233,127 388,545 699,381 1,165,635 3,496,905

Collatz Trajectory (128 steps to reach 1)

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

3,496,905 10,490,716 5,245,358 2,622,679 7,868,038 3,934,019 11,802,058 5,901,029 17,703,088 8,851,544 4,425,772 2,212,886 1,106,443 3,319,330 1,659,665 4,978,996 2,489,498 1,244,749 3,734,248 1,867,124 933,562 466,781 1,400,344 700,172 350,086 175,043 525,130 262,565 787,696 393,848 196,924 98,462 49,231 147,694 73,847 221,542 110,771 332,314 166,157 498,472 249,236 124,618 62,309 186,928 93,464 46,732 23,366 11,683 35,050 17,525 52,576 26,288 13,144 6,572 3,286 1,643 4,930 2,465 7,396 3,698

More profiles

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