4889
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 29
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 4890
- 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
- 4888
- Möbius Function
- -1
- Radical
- 4889
- 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
- 46
- 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
- 654
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- "First factor" (or relative class number) h- for cyclotomic field Q( exp(2 Pi / prime(n)) ).at n=15A000927
- Numbers that are the sum of 3 nonzero 6th powers.at n=14A003359
- Numbers that are the sum of 9 positive 7th powers.at n=23A003376
- Numbers that are the sum of at most 3 nonzero 6th powers.at n=28A004854
- Numbers that are the sum of at most 4 nonzero 6th powers.at n=48A004855
- Primes that are palindromic in base 2 (but written here in base 10).at n=18A016041
- Numbers k such that the continued fraction for sqrt(k) has period 11.at n=43A020350
- Squarefree n such that Q(sqrt(n)) has class number 5.at n=37A029705
- Lower prime of a pair of consecutive primes having a difference of 14.at n=26A031932
- Relative class number h- of cyclotomic field Q(zeta_m) where m is n-th term of A035113.at n=68A035115
- Numerators of continued fraction convergents to sqrt(706).at n=4A042358
- Denominators of continued fraction convergents to sqrt(775).at n=7A042495
- Primes p such that number of primes produced according to rules stipulated in Honaker's A048853 is 4.at n=14A050666
- Primes whose digits are composite; primes having only {4, 6, 8, 9} as digits.at n=4A051416
- Primes of form prime(1) + ... + prime(k) + 1.at n=10A053845
- Number of positive integers <= 2^n of form 7 x^2 + 9 y^2.at n=16A054188
- Class number h = h- * h+ of cyclotomic field Q( exp(2 Pi / prime(n)) ).at n=15A055513
- Primes p such that x^47 = 2 has no solution mod p.at n=14A059257
- Primes having only 0,4,6,8,9 as digits.at n=9A061372
- Relative class number h- of cyclotomic field Q(zeta_n) where n runs through positive integers not congruent to 2 (mod 4) [A042965, but omitting the initial 0].at n=39A061494