8174
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 20
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 12648
- Proper Divisor Sum (Aliquot Sum)
- 4474
- 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
- 3960
- Möbius Function
- -1
- Radical
- 8174
- Omega Function (Ω)
- 3
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 158
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- yes
- 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
- Powers of fifth root of 3 rounded up.at n=41A018122
- Numbers whose base-4 representation contains exactly two 2's and four 3's.at n=28A045147
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 73 ).at n=37A063346
- Sum of the first n safe primes.at n=23A066869
- a(n) = 2*prime(n)*prime(n+1).at n=17A069486
- Sum of the reverses of the first n primes.at n=37A071602
- Number of hierarchies of hierarchies of hierarchies on n points.at n=5A075756
- Numbers n such that A001414(n) = sum of squared digits of n.at n=15A094908
- Number of increasing runs of even length in all permutations of [n].at n=7A097593
- Numbers k such that k and 8*k, taken together, are zeroless pandigital.at n=26A115932
- Triangle read by rows: T(n,k) is the number of Dyck n-paths (A000108) whose longest sawtooth has size k.at n=57A120060
- Riordan matrix (1/(1-x-x^2-x^3),(x+x^2+x^3)/(1-x-x^2-x^3)).at n=59A187889
- Number of nX4 0..1 arrays avoiding 0 0 0 and 0 1 1 horizontally and 0 0 1 and 1 1 1 vertically.at n=7A207510
- Numbers n such that sum of squares of digits of n equals the sum of prime divisors of n.at n=18A217390
- Number of partitions of n into distinct parts with boundary size 9.at n=29A227566
- Number of partitions of n such that (number of distinct parts) >= least part.at n=32A239952
- a(1)=1, a(2)=2; thereafter a(n) = a(n-1) + a(n-1-(number of even terms so far)) + a(n-1-(number of odd terms so far)).at n=35A249039
- Numbers m such that m^2 is the sum of the squares of two or more consecutive primes.at n=2A270424
- Numbers k such that (35*10^k - 377)/9 is prime.at n=14A295967
- Numbers k such that k^2+1, (k+2)^2+1 and (k+6)^2+1 are prime.at n=17A302021