λ
Sigma Notebook

8,435,692

22 × 53 × 39791
Deficient Even Composite

8,435,692 is even and not a perfect square. Its factorization is 2^2 × 53 × 39791 and its 12 divisors sum to 15,041,376.

Prime Factor Structure

Factorization String 2^2 × 53 × 39791
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 15,041,376
Proper Divisor Sum 6,605,684
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #8435681 ← → #8435711

Radix Representation

Decimal 8435692
Binary 100000001011011111101100 (24 bits)
Octal 0o40133754
Hexadecimal 0x80B7EC

Divisor Catalog (12)

1 2 4 53 106 212 39,791 79,582 159,164 2,108,923 4,217,846 8,435,692

Collatz Trajectory (106 steps to reach 1)

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

8,435,692 4,217,846 2,108,923 6,326,770 3,163,385 9,490,156 4,745,078 2,372,539 7,117,618 3,558,809 10,676,428 5,338,214 2,669,107 8,007,322 4,003,661 12,010,984 6,005,492 3,002,746 1,501,373 4,504,120 2,252,060 1,126,030 563,015 1,689,046 844,523 2,533,570 1,266,785 3,800,356 1,900,178 950,089 2,850,268 1,425,134 712,567 2,137,702 1,068,851 3,206,554 1,603,277 4,809,832 2,404,916 1,202,458 601,229 1,803,688 901,844 450,922 225,461 676,384 338,192 169,096 84,548 42,274 21,137 63,412 31,706 15,853 47,560 23,780 11,890 5,945 17,836 8,918

More profiles

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