λ
Sigma Notebook

7,713,617

41 × 188137
Deficient Odd Composite

7,713,617 is odd and not a perfect square. Its factorization is 41 × 188137 and its 4 divisors sum to 7,901,796.

Prime Factor Structure

Factorization String 41 × 188137
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 7,901,796
Proper Divisor Sum 188,179
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #7713613 ← → #7713659

Radix Representation

Decimal 7713617
Binary 11101011011001101010001 (23 bits)
Octal 0o35331521
Hexadecimal 0x75B351

Divisor Catalog (4)

1 41 188,137 7,713,617

Collatz Trajectory (186 steps to reach 1)

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

7,713,617 23,140,852 11,570,426 5,785,213 17,355,640 8,677,820 4,338,910 2,169,455 6,508,366 3,254,183 9,762,550 4,881,275 14,643,826 7,321,913 21,965,740 10,982,870 5,491,435 16,474,306 8,237,153 24,711,460 12,355,730 6,177,865 18,533,596 9,266,798 4,633,399 13,900,198 6,950,099 20,850,298 10,425,149 31,275,448 15,637,724 7,818,862 3,909,431 11,728,294 5,864,147 17,592,442 8,796,221 26,388,664 13,194,332 6,597,166 3,298,583 9,895,750 4,947,875 14,843,626 7,421,813 22,265,440 11,132,720 5,566,360 2,783,180 1,391,590 695,795 2,087,386 1,043,693 3,131,080 1,565,540 782,770 391,385 1,174,156 587,078 293,539

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