λ
Sigma Notebook

901,904

24 × 56369
Deficient Even Composite

901,904 is even and not a perfect square. Its factorization is 2^4 × 56369 and its 10 divisors sum to 1,747,470.

Prime Factor Structure

Factorization String 2^4 × 56369
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 10
Divisor Sum (σ) 1,747,470
Proper Divisor Sum 845,566
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #901891 ← → #901907

Radix Representation

Decimal 901904
Binary 11011100001100010000 (20 bits)
Octal 0o3341420
Hexadecimal 0xDC310

Divisor Catalog (10)

1 2 4 8 16 56,369 112,738 225,476 450,952 901,904

Collatz Trajectory (64 steps to reach 1)

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

901,904 450,952 225,476 112,738 56,369 169,108 84,554 42,277 126,832 63,416 31,708 15,854 7,927 23,782 11,891 35,674 17,837 53,512 26,756 13,378 6,689 20,068 10,034 5,017 15,052 7,526 3,763 11,290 5,645 16,936 8,468 4,234 2,117 6,352 3,176 1,588 794 397 1,192 596 298 149 448 224 112 56 28 14 7 22 11 34 17 52 26 13 40 20 10 5

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