8538
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 24
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 17088
- Proper Divisor Sum (Aliquot Sum)
- 8550
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- yes
Derived Values
- Euler's Totient
- 2844
- Möbius Function
- -1
- Radical
- 8538
- 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
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 65
- 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
- Derivative of log of A002126.at n=44A023901
- "DIK" (bracelet, indistinct, unlabeled) transform of 2,2,2,2...at n=10A032283
- Numbers m such that m^2 ends in 444.at n=34A039685
- Revert transform of (1 - 5x + 6x^2 - x^3)/(1 - 4x + 2x^2 + 2x^3).at n=8A049134
- Numbers which are the sum of their proper divisors containing the digit 4.at n=11A059463
- Expansion of theta_3(q) / theta_3(q^2) in powers of q.at n=36A080015
- G.f.: Product_{n >= 0} (1+x^(2n+1))/(1-x^(2n+1)).at n=36A080054
- Expansion of f(-q) / f(q) in powers of q where f() is a Ramanujan theta function.at n=36A108494
- Starting numbers for which the RATS sequence has eventual period 14.at n=16A114615
- a(n) is the least triprime T for which the Mertens function M(T) = n.at n=32A123174
- Admirable numbers in the middle of twin primes.at n=26A135502
- Averages of twin prime pairs such that p1 * p2 + AverageTwinPrime is prime.at n=33A154667
- Numbers that are divisible by exactly 3 primes (counted with multiplicity) and sandwiched between primes.at n=25A171179
- Expansion of phi(q^2) / phi(-q) in powers of q where phi() is a Ramanujan theta function.at n=18A208850
- Expansion of phi(-q) / phi(q^2) in powers of q where phi() is a Ramanujan theta function.at n=36A210030
- Expansion of phi(q^2) / phi(q) in powers of q where phi() is a Ramanujan theta function.at n=18A210065
- T(n,k)=Number of (n+1)X(k+1) 0..3 arrays x(i,j) with row sums sum{x(i,j), j=1..k+1} nondecreasing, and column sums sum{i^2*x(i,j), i=1..n+1} nondecreasing.at n=6A233353
- Number of (1+1)X(n+1) 0..3 arrays x(i,j) with row sums sum{x(i,j), j=1..n+1} nondecreasing, and column sums sum{i^2*x(i,j), i=1..1+1} nondecreasing.at n=3A233354
- Number of length n 1..(2+1) arrays with every leading partial sum divisible by 2, 3 or 5.at n=12A254821
- Number of shapes of grid-filling curves of order 6*n+1 (on the tri-hexagonal grid) with turns by +-60 and +-120 degrees that are generated by Lindenmayer-systems with just one symbol apart from the turns.at n=9A265686