4877
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 26
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 4878
- 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
- 4876
- Möbius Function
- -1
- Radical
- 4877
- 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
- 134
- 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
- 653
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Coordination sequence T3 for Zeolite Code MTT.at n=43A008191
- Twelve iterations of Reverse and Add are needed to reach a palindrome.at n=31A015993
- Numbers k such that the continued fraction for sqrt(k) has period 43.at n=11A020382
- Smallest nonempty set S containing prime divisors of 9k+8 for each k in S.at n=51A020630
- Number of partitions of n such that cn(1,5) < cn(0,5) = cn(2,5) <= cn(3,5) = cn(4,5).at n=72A036859
- Coordination sequence T15 for Zeolite Code STT.at n=46A038427
- Coordination sequence T7 for Zeolite Code SFF.at n=46A038431
- Primes p such that x^23 = 2 has no solution mod p.at n=30A040984
- First differences are A005563.at n=23A047732
- Primes for which only two iterations of 'Prime plus its digit sum equals a prime' are possible.at n=29A048524
- Discriminants of real quadratic fields with class number 1 and related continued fraction period length of 15.at n=11A050964
- Primes q of form q=10p+7, where p is also prime.at n=24A055783
- Primes p whose period of reciprocal equals (p-1)/4.at n=42A056157
- Primes p such that x^53 = 2 has no solution mod p.at n=10A059258
- A B_2 sequence: a(n) is the smallest prime such that the pairwise sums of distinct elements are all distinct.at n=35A062294
- Numbers which need 12 'Reverse and Add' steps to reach a palindrome.at n=31A065217
- Primes > 1000 in which every substring of length 3 is also prime.at n=33A069489
- Numbers n such that sum of digits of n equals the sum of digits of n^3.at n=20A070276
- Group the composite numbers so that the sum of each group is a prime; sequence gives sum of terms in each group.at n=35A073686
- Primes which are sandwiched between two numbers having the same unordered canonical form.at n=19A074460