3750
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 20
- Divisor Sum
- 9372
- Proper Divisor Sum (Aliquot Sum)
- 5622
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 1000
- Möbius Function
- 0
- Radical
- 30
- Omega Function (Ω)
- 6
- 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
- 175
- 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
- yes
- Carmichael Number
- no
Classification
- Even
- yes
- Odd
- no
Appears in sequences
- Number of compositions of n into 5 ordered relatively prime parts.at n=15A000743
- Expansion of (1+x)/(1-5*x).at n=5A003948
- Number of esters with n carbon atoms up to stereo-isomerism.at n=9A005958
- Number of labeled mating digraphs with n nodes.at n=4A006025
- Numbers k such that k^64 + 1 is prime.at n=39A006316
- Unique period lengths of primes mentioned in A007615.at n=47A007498
- Expansion of f(f(x)), where f = x + x^2 + x^4 + x^8 + x^16 + ...at n=19A007801
- Coordination sequence T1 for Zeolite Code MTW.at n=40A008196
- a(n) = floor(n/5)*floor((n+1)/5)*floor((n+2)/5)*floor((n+3)/5)*floor((n+4)/5).at n=26A008382
- a(n) = floor(n*(n-1)*(n-2)*(n-3)/31).at n=20A011941
- Cycle class sequence c(n) (the number of true cycles of length n in which a certain node is included) for zeolite TON = Theta-1 Nan[AlnSi24-nO48] starting with a T1 atom.at n=11A019243
- Numbers of form 5^i*6^j, with i, j >= 0.at n=16A025622
- a(n) = n*(n^2 + 12*n - 25)/6.at n=25A026057
- Expansion of (theta_3(z)*theta_3(15z) + theta_2(z)*theta_2(15z))^3.at n=49A028627
- Concentric hexagonal numbers: floor(3*n^2/2).at n=50A032528
- Sums of distinct powers of 5.at n=48A033042
- a(n) = 6*n^2.at n=25A033581
- Number of partitions of n with equal number of parts congruent to each of 0, 1 and 3 (mod 5).at n=51A035573
- Composites n such that A001414(n) is odd and divides n.at n=32A036346
- Triangle whose (i,j)-th entry is binomial(i,j)*5^(i-j)*5^j.at n=12A038247