4701
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 12
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 6272
- Proper Divisor Sum (Aliquot Sum)
- 1571
- 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
- 3132
- Möbius Function
- 1
- Radical
- 4701
- Omega Function (Ω)
- 2
- Little Omega Function (ω)
- 2
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
- 121
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- 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
- no
- Odd
- yes
Appears in sequences
- a(n) = ceiling(1000*log_2(n)).at n=25A004267
- Coordination sequence T1 for Zeolite Code EPI.at n=43A008090
- Coordination sequence T3 for Zeolite Code FER.at n=42A008108
- Coordination sequence T2 for Zeolite Code MEL.at n=44A008151
- Numbers k such that the continued fraction for sqrt(k) has period 94.at n=4A020433
- a(n) = a(n-1) + a(n-2) + 1, with a(0)=3, a(1)=9.at n=14A022408
- Square root of A030688.at n=46A030689
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 44.at n=37A031542
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 38 ones.at n=16A031806
- Numbers whose set of base-6 digits is {3,4}.at n=34A032830
- Multiplicity of highest weight (or singular) vectors associated with character chi_110 of Monster module.at n=36A034498
- Base-6 palindromes that start with 3.at n=36A043012
- Numbers having four 3's in base 6.at n=19A043384
- Denominators of successive convergents to continued fraction 1+2/(3+3/(4+4/(5+5/(6+6/(7+7/(8+8/(9+9/10+...))))))).at n=5A053519
- Number of mobiles (circular rooted trees) with n nodes and 4 leaves.at n=10A055342
- Pinwheel numbers: a(n) = 2*n^2 + 6*n + 1.at n=47A059993
- a(1) = 2; a(n) is smallest number > a(n-1) such that the juxtaposition a(1)a(2)...a(n) is a prime.at n=38A074338
- Draw a line through every pair of points with coordinates (x, 1) and (x', 2) with x, x' in 1..n, and then count the number of intersection points above the line y = 2.at n=15A092275
- Sum of the first n pairs of consecutive primes (for example, a(3) = (2+3) + (3+5) + (5+7) = 25).at n=34A102724
- Numbers n such that 2^n+25229 is prime.at n=46A103148