λ
Sigma Notebook

8,661,597

3 × 7 × 412457
Deficient Odd Composite

8,661,597 is odd and not a perfect square. Its factorization is 3 × 7 × 412457 and its 8 divisors sum to 13,198,656.

Prime Factor Structure

Factorization String 3 × 7 × 412457
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 13,198,656
Proper Divisor Sum 4,537,059
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #8661581 ← → #8661623

Radix Representation

Decimal 8661597
Binary 100001000010101001011101 (24 bits)
Octal 0o41025135
Hexadecimal 0x842A5D

Divisor Catalog (8)

1 3 7 21 412,457 1,237,371 2,887,199 8,661,597

Collatz Trajectory (75 steps to reach 1)

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

8,661,597 25,984,792 12,992,396 6,496,198 3,248,099 9,744,298 4,872,149 14,616,448 7,308,224 3,654,112 1,827,056 913,528 456,764 228,382 114,191 342,574 171,287 513,862 256,931 770,794 385,397 1,156,192 578,096 289,048 144,524 72,262 36,131 108,394 54,197 162,592 81,296 40,648 20,324 10,162 5,081 15,244 7,622 3,811 11,434 5,717 17,152 8,576 4,288 2,144 1,072 536 268 134 67 202 101 304 152 76 38 19 58 29 88 44

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