4557
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 21
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 7296
- Proper Divisor Sum (Aliquot Sum)
- 2739
- 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
- 2520
- Möbius Function
- 0
- Radical
- 651
- Omega Function (Ω)
- 4
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 59
- Smith Number
- yes
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- 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
- Number of partitions into one kind of 1's, two kinds of 2's, and three kinds of 3's.at n=29A002597
- Numbers k such that k^4 can be written as a sum of four positive 4th powers.at n=26A003294
- a(n) = 3 + n/2 + 7*n^2/2.at n=36A006124
- Odd numbers k that divide 25^k - 1.at n=40A014962
- a(n) = a(n-1) + a(n-2) + 1 for n>1, a(0)=0, a(1)=3.at n=16A022308
- Expansion of Product_{m>=1} (1 + m*q^m)^14.at n=4A022642
- a(n) = least m such that if r and s in {1/2, 1/4, 1/6, ..., 1/2n} satisfy r < s, then r < k/m < (k+1)/m < s for some integer k.at n=36A024835
- a(n) = d(n)/2, where d = A026040.at n=27A026041
- a(n) = Sum_{k=0..floor(n/2)} A026615(n-k,k).at n=17A026625
- Number of consecutive integers placed in n bins under a certain packing scheme.at n=8A031506
- 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=29A031542
- Concatenations C1 and C2 are both prime (see the comment lines).at n=47A034816
- Concatenations C1 and C2 and C3 are all prime (see the comment lines).at n=4A034817
- Number of partitions of n with equal nonzero number of parts congruent to each of 0, 2 and 4 (mod 5).at n=49A035586
- Base 5 digits are, in order, the first n terms of the periodic sequence with initial period 1,2.at n=5A037482
- Base-6 palindromes that start with 3.at n=32A043012
- a(n)=(s(n)+3)/9, where s(n)=n-th base 9 palindrome that starts with 6.at n=40A043077
- Numbers having four 3's in base 6.at n=6A043384
- Numbers whose base-5 representation contains exactly three 1's and three 2's.at n=5A045232
- Has both a primitive and imprimitive representation as x^2 + xy + y^2.at n=33A045897