λ
Sigma Notebook

1,215,431

7 × 401 × 433
Deficient Odd Composite

1,215,431 is odd and not a perfect square. Its factorization is 7 × 401 × 433 and its 8 divisors sum to 1,395,744.

Prime Factor Structure

Factorization String 7 × 401 × 433
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,395,744
Proper Divisor Sum 180,313
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #1215421 ← → #1215433

Radix Representation

Decimal 1215431
Binary 100101000101111000111 (21 bits)
Octal 0o4505707
Hexadecimal 0x128BC7

Divisor Catalog (8)

1 7 401 433 2,807 3,031 173,633 1,215,431

Collatz Trajectory (85 steps to reach 1)

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

1,215,431 3,646,294 1,823,147 5,469,442 2,734,721 8,204,164 4,102,082 2,051,041 6,153,124 3,076,562 1,538,281 4,614,844 2,307,422 1,153,711 3,461,134 1,730,567 5,191,702 2,595,851 7,787,554 3,893,777 11,681,332 5,840,666 2,920,333 8,761,000 4,380,500 2,190,250 1,095,125 3,285,376 1,642,688 821,344 410,672 205,336 102,668 51,334 25,667 77,002 38,501 115,504 57,752 28,876 14,438 7,219 21,658 10,829 32,488 16,244 8,122 4,061 12,184 6,092 3,046 1,523 4,570 2,285 6,856 3,428 1,714 857 2,572 1,286

More profiles

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