1097
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 1098
- Proper Divisor Sum (Aliquot Sum)
- 1
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 1096
- Möbius Function
- -1
- Radical
- 1097
- Omega Function (Ω)
- 1
- Little Omega Function (ω)
- 1
Special
- Factorial
- no
- Catalan Number
- no
- Bell Number
- no
- Motzkin Number
- no
- Primorial
- no
Figurate Numbers
- Fibonacci Number
- no
- Triangular Number
- no
- Perfect Square
- no
- Perfect Cube
- no
- Pentagonal Number
- no
- Hexagonal Number
- no
- Lucas Number
- no
- Tetrahedral Number
- no
- Pell Number
- no
- Tribonacci Number
- no
- Pronic Number
- no
Recreational
- Happy Number
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 137
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- yes
- Composite Number
- no
- Semiprime
- no
- Squarefree Number
- yes
- Prime Power
- yes
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 184
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Nearest integer to e^n.at n=7A000227
- Primes with 3 as smallest primitive root.at n=45A001123
- Primes p such that the multiplicative order of 2 modulo p is (p-1)/4.at n=8A001134
- Indices of prime Lucas numbers.at n=26A001606
- Powers of e rounded up.at n=7A001671
- Numbers that are the sum of 12 positive 5th powers.at n=52A003357
- Numbers k >= 2 such that if 1 < j < k then (fractional part of log k) < (fractional part of log j).at n=7A004790
- a(n) = ceiling(exp((n-1)/2)).at n=15A005181
- Primes of the form k^2 + k + 41.at n=32A005846
- Numbers k such that k-6, k, and k+6 are primes.at n=28A006489
- Emirps (primes whose reversal is a different prime).at n=43A006567
- Primes with both 10 and -10 as primitive root.at n=33A007349
- Where the prime race among 7k+1, ..., 7k+6 changes leader.at n=8A007354
- Primes of form 8n+1, that is, primes congruent to 1 mod 8.at n=40A007519
- Smallest number m such that the trajectory of m under iteration of Euler's totient function phi(n) [A000010] contains exactly n distinct numbers, including m and the fixed point.at n=11A007755
- Primes p == 1 (mod 8), p = a^2 +64*b^2 such that y^2 = x^3 + p*x has rank 0.at n=2A007765
- For any circular arrangement of 0..n-1, let S = sum of squares of every sum of two contiguous numbers; then a(n) = # of distinct values of S.at n=18A007773
- Coordination sequence T4 for Zeolite Code NON.at n=20A008215
- Shallit sequence S(3,13), a(n)=[ a(n-1)^2/a(n-2)+1 ].at n=4A010921
- Primes p == 1 mod 8 such that 2 and -2 are both 4th powers (one implies other) mod p.at n=16A014754