11175
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 18600
- Proper Divisor Sum (Aliquot Sum)
- 7425
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5920
- Möbius Function
- 0
- Radical
- 2235
- Omega Function (Ω)
- 4
- Little Omega Function (ω)
- 3
Special
- Factorial
- no
- Catalan Number
- no
- Bell Number
- no
- Motzkin Number
- no
- Primorial
- no
Figurate Numbers
- Fibonacci Number
- no
- Triangular Number
- yes
- Perfect Square
- no
- Perfect Cube
- no
- Pentagonal Number
- no
- Hexagonal Number
- yes
- Lucas Number
- no
- Tetrahedral Number
- no
- Pell Number
- no
- Tribonacci Number
- no
- Pronic Number
- no
Recreational
- Happy Number
- no
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 117
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- Prime Power
- no
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- a(n) = prime(n)*(prime(n+1)-1)/2.at n=34A014303
- a(n) = (2*n+1)*(4*n+1).at n=37A014634
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 35.at n=36A031533
- Triangular numbers (A000217) with prime indices.at n=34A034953
- Odd triangular numbers with prime indices.at n=16A034954
- Images of hexamorphic numbers: suppose k-th hexagonal number H(k) (A000384) ends in k; sequence gives positive values of H(k).at n=7A038494
- Smallest triangular numbers that contain the digits of n anywhere in their middle.at n=11A062829
- Triangular numbers with sum of digits = 15.at n=22A068130
- Triangular numbers with arithmetic mean of digits = integer (sum of digits = A multiple of the number of digits).at n=45A069712
- Smallest multiple of n-th prime which is == 1 mod (n+1)-st prime.at n=34A073603
- Triangular numbers which are 4-almost primes.at n=40A076578
- Triangular numbers whose external digits form a triangular number. Or triangular number whose MSD and LSD form a triangular number.at n=45A077367
- Rearrangement of triangular numbers such that the sum of two consecutive terms is a palindrome.at n=47A082980
- Smallest triangular number > 1 and == 1 (mod prime(n)).at n=35A087397
- Hexagonal numbers for which the sum of the digits is also a hexagonal number.at n=17A117062
- Triangular numbers for which the sum of the digits is a hexagonal number.at n=32A117309
- Triangular numbers with only odd digits.at n=14A117960
- Triangular numbers composed of digits {1,5,7}.at n=6A119134
- Numbers k such that 2*k-1, 4*k-1, 6*k-1 and 8*k-1 are primes.at n=10A124487
- Numbers k for which 2*k-1, 4*k-1, 8*k-1 and 16*k-1 are primes.at n=17A124494