λ
Sigma Notebook

9,807,746

2 × 132 × 29017
Deficient Even Composite

9,807,746 is even and not a perfect square. Its factorization is 2 × 13^2 × 29017 and its 12 divisors sum to 15,930,882.

Prime Factor Structure

Factorization String 2 × 13^2 × 29017
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 15,930,882
Proper Divisor Sum 6,123,136
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #9807737 ← → #9807751

Radix Representation

Decimal 9807746
Binary 100101011010011110000010 (24 bits)
Octal 0o45323602
Hexadecimal 0x95A782

Divisor Catalog (12)

1 2 13 26 169 338 29,017 58,034 377,221 754,442 4,903,873 9,807,746

Collatz Trajectory (207 steps to reach 1)

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

9,807,746 4,903,873 14,711,620 7,355,810 3,677,905 11,033,716 5,516,858 2,758,429 8,275,288 4,137,644 2,068,822 1,034,411 3,103,234 1,551,617 4,654,852 2,327,426 1,163,713 3,491,140 1,745,570 872,785 2,618,356 1,309,178 654,589 1,963,768 981,884 490,942 245,471 736,414 368,207 1,104,622 552,311 1,656,934 828,467 2,485,402 1,242,701 3,728,104 1,864,052 932,026 466,013 1,398,040 699,020 349,510 174,755 524,266 262,133 786,400 393,200 196,600 98,300 49,150 24,575 73,726 36,863 110,590 55,295 165,886 82,943 248,830 124,415 373,246

More profiles

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