4501
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 10
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 5152
- Proper Divisor Sum (Aliquot Sum)
- 651
- 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
- 3852
- Möbius Function
- 1
- Radical
- 4501
- 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
- 46
- 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
- Numbers that are the sum of 4 distinct positive cubes in exactly 3 ways.at n=16A025410
- Numbers that are the sum of 4 distinct positive cubes in 3 or more ways.at n=17A025413
- Coordination sequence T2 for Zeolite Code ITE.at n=46A027370
- Square root of A030688.at n=44A030689
- If d,e are consecutive digits of n in base 7, then |d-e|>=5.at n=29A032995
- Number of partitions of n into parts not of the form 25k, 25k+8 or 25k-8. Also number of partitions with at most 7 parts of size 1 and differences between parts at distance 11 are greater than 1.at n=29A036007
- Coordination sequence T1 for Zeolite Code AWO.at n=46A038406
- Numbers ending with '1' that are the difference of two positive cubes.at n=21A038856
- Number of partitions satisfying cn(1,5) + cn(4,5) <= cn(0,5) + cn(2,5) and cn(1,5) + cn(4,5) <= cn(0,5) + cn(3,5).at n=36A039864
- Number of partitions satisfying 0 < cn(0,5) + cn(1,5) + cn(4,5).at n=29A039900
- The sequence e when b=[ 1,1,0,1,1,... ].at n=42A042955
- Number of 3-level labeled linear rooted trees with n leaves.at n=5A050351
- Increasing values of the Improperly Reduced Fibonacci Sequence (A058981).at n=33A058982
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 100 ).at n=28A063373
- Centered 15-gonal numbers: a(n) = (15*n^2 - 15*n + 2)/2.at n=24A069128
- "Sum of n first primes" minus "sum of first n nonprimes".at n=56A071411
- Reverse of k concatenated with k, divided by k, where k = A083970(n).at n=55A083971
- a(1) = 1, a(n) = sum of n successive primes beginning with n if n is prime otherwise a(n) = sum of n successive composite numbers beginning with n.at n=36A110343
- Triangle T(n,k), 0 <= k <= n, read by rows, given by [1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, ...] DELTA [1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, ...] where DELTA is the operator defined in A084938.at n=41A111049
- The second of the pair of consecutive integers k and k+1 such that sopfr(k) divides sopfr(k+1), where sopfr(k) is the sum of the prime factors of k, counting multiplicity.at n=40A129317