3951
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 5720
- Proper Divisor Sum (Aliquot Sum)
- 1769
- 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
- 2628
- Möbius Function
- 0
- Radical
- 1317
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 74
- 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
- Coordination sequence T8 for Zeolite Code MFI.at n=40A008171
- Coordination sequence T3 for Zeolite Code VET.at n=38A009904
- Cycle class sequence c(n) (the number of true cycles of length n in which a certain node is included) for zeolite DOH = Dodecasil 1H [Si34O68].qR starting with a T2 atom.at n=11A019114
- Numbers k such that Fibonacci(k) == 34 (mod k).at n=33A023180
- Central "nonomial" coefficient: largest coefficient of (1+x+...+x^8)^n.at n=5A025014
- Number of distinct prime signatures of the positive integers up to 2^n.at n=39A025488
- Number of 6-ary rooted trees with n nodes and height at most 7.at n=12A036624
- Base-8 palindromes that start with 7.at n=15A043027
- Number of factorizations into distinct factors with 3 levels of parentheses indexed by prime signatures. A050349(A025487).at n=29A050350
- Number of labeled minimally 2-connected graphs by nodes.at n=4A054594
- Sum of partial sums of partition numbers (A026905) and partial sums of numbers of partitions into distinct parts (A026906).at n=20A056871
- Intrinsic 12-palindromes: n is an intrinsic k-palindrome if it is a k-digit palindrome in some base.at n=29A060949
- Reversion of x - x^2 - x^3 - x^4.at n=8A063018
- Number of subtraction steps in n-th interval between special points in Recamán's sequence A005132.at n=15A065055
- Largest coefficient in expansion of (1 + x + x^2 + ... + x^(n-1))^5 = ((1-x^n)/(1-x))^5, i.e., the coefficient of x^floor(5*(n-1)/2) and of x^ceiling(5*(n-1)/2); also number of compositions of floor(5*(n+1)/2) into exactly 5 positive integers each no more than n.at n=9A077044
- Number of ordered quintuples (a,b,c,d,e), -n <= a,b,c,d,e <= n, such that a+b+c+d+e = 0.at n=4A083669
- Triangle T(n,k) read by rows: permutations on 123...n with one abc pattern and no aj pattern with j<=k, n>2, k<n-1.at n=40A084249
- Smallest number k > 0 such that prefixing k to the n-th quadruple in the set {(1,3,7,9), (11,13,17,19), (21,23,27,29), ...} yields all primes.at n=55A088264
- Triangle T read by rows: T(m,n) = number of convex polyominoes with an m+1 X n+1 minimal bounding rectangle, m > 0, n <= m.at n=8A093118
- Rounded frequencies in Hertz of the notes of the C major music scale beginning at A (A Minor equal-tempered).at n=43A101285