11372
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 14
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 19908
- Proper Divisor Sum (Aliquot Sum)
- 8536
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5684
- Möbius Function
- 0
- Radical
- 5686
- 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
- 174
- 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
- yes
- Odd
- no
Appears in sequences
- Erroneous version of A047709.at n=11A002911
- Number of partitions of n into parts not of the form 17k, 17k+5 or 17k-5. Also number of partitions with at most 4 parts of size 1 and differences between parts at distance 7 are greater than 1.at n=36A035966
- Base 4 digits are, in order, the first n terms of the periodic sequence with initial period 2,3,0,1.at n=6A037744
- Values of A038007 not ending in 6 or 8.at n=20A038009
- Values of A038007 ending in 2.at n=1A038011
- Low-temperature series in u = exp(-4J/kT) for ferromagnetic susceptibility for the spin-1/2 Ising model on hexagonal lattice.at n=11A047709
- Row sums of partition triangle A026820.at n=20A058397
- a(n) is the smallest number which has in its English name the letter "o" in the n-th position, or -1 if no such number exists.at n=35A164789
- Number of 0..5 arrays x(0..n) of n+1 elements with zero n-1st differences.at n=12A200079
- Triangle of coefficients of polynomials v(n,x) jointly generated with A208759; see the Formula section.at n=50A208760
- Number of partitions of n for which (number of occurrences of the least part) = (number of occurrences of greatest part).at n=42A236543
- Nonprimes such that it takes exactly 3 iterations of reverse-and-add digits to generate a prime.at n=27A245208
- Expansion of f(-x^3)^3 / (f(-x^2) * f(-x^4)^2) in powers of x where f() is a Ramanujan theta function.at n=42A262150
- a(n) = Sum_{k=1..n} k * rad(k).at n=35A350996
- Numbers k such that d(k) < d(k+1) < d(k+2) < d(k+3) < d(k+4), where d(n) is the number of divisors of n.at n=1A364717
- Number of partitions of n such that the least part occurs exactly (1/3)*(number of parts) times.at n=50A386360
- a(n) is the permanent of the n X n matrix whose generic element is given by F(2*i-1)*L(2*i) if i = j and F(2*j)*L(2*j-1) if i != j with 1 <= i,j <= n, where F(n) = A000045(n) and L(n) = A000032(n).at n=3A392840