9196
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 25
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 18
- Divisor Sum
- 18620
- Proper Divisor Sum (Aliquot Sum)
- 9424
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 3960
- Möbius Function
- 0
- Radical
- 418
- Omega Function (Ω)
- 5
- 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
- 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
- 153
- 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
- yes
- Odd
- no
Appears in sequences
- Number of distinct products i*j with 0 <= i, j <= n-th prime.at n=41A027419
- Iterated procedure 'composite k added to sum of its prime factors reaches a prime' yields 6 skipped primes.at n=41A050773
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 89 ).at n=28A063362
- Numbers k such that sigma(k) is a harmonic number.at n=35A074245
- Dropping first and last digit of n leaves its largest prime factor.at n=35A114565
- Positive integers k such that 13^k == 9 (mod k).at n=16A116636
- Multiples of 19 containing a 19 in their decimal representation.at n=15A121039
- Number of ways to build a contiguous building with n LEGO blocks of size 1 X 3 on top of a fixed block of the same size so that the building is flat, i.e., with all blocks in parallel position and symmetric after a rotation by 180 degrees.at n=11A123777
- Numbers k for which 16*k+1, 16*k+3 and 16*k+15 are primes.at n=36A123997
- Number of n X n binary arrays symmetric under horizontal reflection with all ones connected only in a 0111-1100-0111 pattern in any orientation.at n=10A147369
- a(n) = n*(n-3)*(n^2-7*n+14)/8.at n=16A176145
- Concentric 19-gonal numbers.at n=44A195048
- a(n) = 4*n*(n^2 + 2)/3.at n=19A217873
- a(n) = 19*n^2.at n=22A244631
- Numbers whose square can be written as sum of at least 3 consecutive triangular numbers in two ways.at n=5A256000
- Sets with a congruence property.at n=8A262591
- Numbers that are values of the totient function (A002202) but not of the reduced totient function (A002174).at n=4A270265
- Numbers n such that the arithmetic, geometric and harmonic means of phi(n) and psi(n) are all integers, where phi(n) is the Euler totient function (A000010) and psi(n) is the Dedekind psi function (A001615).at n=41A291959
- a(n) = 144*2^n - 20 (n>=1).at n=5A304388
- Number of partitions such that the least positive integer which is not a part of the partition is prime.at n=35A305937