λ
Sigma Notebook

9,406,401

3 × 379 × 8273
Deficient Odd Composite

9,406,401 is odd and not a perfect square. Its factorization is 3 × 379 × 8273 and its 8 divisors sum to 12,576,480.

Prime Factor Structure

Factorization String 3 × 379 × 8273
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 12,576,480
Proper Divisor Sum 3,170,079
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #9406393 ← → #9406417

Radix Representation

Decimal 9406401
Binary 100011111000011111000001 (24 bits)
Octal 0o43703701
Hexadecimal 0x8F87C1

Divisor Catalog (8)

1 3 379 1,137 8,273 24,819 3,135,467 9,406,401

Collatz Trajectory (331 steps to reach 1)

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

9,406,401 28,219,204 14,109,602 7,054,801 21,164,404 10,582,202 5,291,101 15,873,304 7,936,652 3,968,326 1,984,163 5,952,490 2,976,245 8,928,736 4,464,368 2,232,184 1,116,092 558,046 279,023 837,070 418,535 1,255,606 627,803 1,883,410 941,705 2,825,116 1,412,558 706,279 2,118,838 1,059,419 3,178,258 1,589,129 4,767,388 2,383,694 1,191,847 3,575,542 1,787,771 5,363,314 2,681,657 8,044,972 4,022,486 2,011,243 6,033,730 3,016,865 9,050,596 4,525,298 2,262,649 6,787,948 3,393,974 1,696,987 5,090,962 2,545,481 7,636,444 3,818,222 1,909,111 5,727,334 2,863,667 8,591,002 4,295,501 12,886,504

More profiles

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