4975
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 25
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 6200
- Proper Divisor Sum (Aliquot Sum)
- 1225
- 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
- 3960
- Möbius Function
- 0
- Radical
- 995
- Omega Function (Ω)
- 3
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 72
- Smith Number
- no
- 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
- Smallest multiple of n whose digits sum to n.at n=25A002998
- a(n) = floor(n*phi^11), where phi is the golden ratio, A001622.at n=25A004926
- a(n) = round(n*phi^11), where phi is the golden ratio, A001622.at n=25A004946
- Permutation arrays of period n.at n=9A006841
- Coordination sequence T2 for Zeolite Code HEU.at n=46A008117
- Coordination sequence T1 for Banalsite.at n=42A008249
- Coordination sequence T2 for Banalsite.at n=42A008250
- Expansion of 1/((1-4x)(1-8x)(1-11x)).at n=3A019672
- Expansion of x^2*(2 - x + x^2) / ((1 + x)*(1 - x)^4).at n=29A026035
- Number of partitions of n such that cn(3,5) < cn(0,5) = cn(1,5) <= cn(2,5) = cn(4,5).at n=68A036875
- Numbers k such that k!!! + 1 is prime (0 is included by convention).at n=31A037083
- Thickened pyramidal numbers: a(n) = 2*(n+1)*n + Sum_{i=1..n} (4*i*(i-1) + 1).at n=15A050533
- a(n)=[A*a(n-1)+B*a(n-2)+C]/p^r, where p^r is the highest power of p dividing [A*a(n-1)+B*a(n-2)+C], A=1.0001, B=1.0001, C=1.5, p=2.at n=40A053522
- Numbers k such that k | sigma_11(k).at n=18A055715
- Numbers n such that n | 9^n + 8^n + 7^n + 6^n.at n=37A057242
- a(n) = least odd number which can be represented in the form p + 2*k^2, k>0, in n different ways.at n=36A060004
- Composite numbers whose sum of aliquot divisors as well as product of aliquot divisors is a perfect square.at n=44A064116
- Nonprime numbers n such that the sum of aliquot divisors of n (A001065) and product of aliquot divisors of n (A048741) are both perfect squares.at n=45A064121
- Smallest proper multiple of n with digit sum n.at n=24A069035
- Numbers n such that sigma(n) and d(n) are both harmonic (Ore) numbers.at n=4A071767