4153
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 13
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 4154
- 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
- 4152
- Möbius Function
- -1
- Radical
- 4153
- 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
- 64
- 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
- 571
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Coordination sequence T2 for Zeolite Code RSN.at n=42A009886
- 3 and -3 are both 4th powers (one implies other) mod these primes p=1 mod 8.at n=28A014755
- Numbers k such that the continued fraction for sqrt(k) has period 79.at n=3A020418
- Initial members of prime triples (p, p+4, p+6).at n=37A022005
- Primes that remain prime through 3 iterations of function f(x) = 6x + 5.at n=34A023288
- Primes that remain prime through 4 iterations of function f(x) = 6x + 5.at n=8A023317
- Coordination sequence T1 for Zeolite Code IFR.at n=45A024982
- a(n+1) = Sum_{k=0..floor(n/5)} a(k) * a(n-k).at n=19A030036
- Primes which when concatenated with next 3 primes are also prime.at n=33A030472
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 40 ones.at n=13A031808
- Upper prime of a difference of 14 between consecutive primes.at n=23A031933
- Honaker primes: primes P(k) such that sum of digits of P(k) equals sum of digits of k.at n=29A033548
- Numbers whose base-5 representation contains exactly three 1's and two 3's.at n=33A045246
- Primes with first digit 4.at n=40A045710
- a(n)=Sum{T(n,j): j=1,2,...,n}, array T given by A048212.at n=17A048222
- Recip transform of 2*(1 + x^5 + x^6)-1/(1-x).at n=7A049166
- Primes at which the difference pattern X42Y (X and Y >= 6) occurs in A001223.at n=13A052164
- a(n) = smallest nonnegative integer not the Nim sum of at most 4 earlier terms.at n=40A054016
- Fifth term of weak prime quintets: p(m-3)-p(m-4) < p(m-2)-p(m-3) < p(m-1)-p(m-2) < p(m)-p(m-1).at n=11A054827
- Let prime(i) = i-th prime, let twin(n) = (P,Q) be n-th pair of twin primes; sequence gives prime(Q).at n=25A057473