λ
Sigma Notebook

100,517

100517
Deficient Odd Prime

100,517 is odd and not a perfect square. Its factorization is 100517 and its 2 divisors sum to 100,518.

Prime Factor Structure

Factorization String 100517
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 100,518
Proper Divisor Sum 1
Digit Sum / Digital Root 14 (Root: 5)
Adjacent Primes #100511 ← → #100519

Radix Representation

Decimal 100517
Binary 11000100010100101 (17 bits)
Octal 0o304245
Hexadecimal 0x188A5

Divisor Catalog (2)

1 100,517

Collatz Trajectory (141 steps to reach 1)

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

100,517 301,552 150,776 75,388 37,694 18,847 56,542 28,271 84,814 42,407 127,222 63,611 190,834 95,417 286,252 143,126 71,563 214,690 107,345 322,036 161,018 80,509 241,528 120,764 60,382 30,191 90,574 45,287 135,862 67,931 203,794 101,897 305,692 152,846 76,423 229,270 114,635 343,906 171,953 515,860 257,930 128,965 386,896 193,448 96,724 48,362 24,181 72,544 36,272 18,136 9,068 4,534 2,267 6,802 3,401 10,204 5,102 2,551 7,654 3,827

More profiles

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