11300
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 5
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 18
- Divisor Sum
- 24738
- Proper Divisor Sum (Aliquot Sum)
- 13438
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4480
- Möbius Function
- 0
- Radical
- 1130
- Omega Function (Ω)
- 5
- 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
- 86
- 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
- Number of permutation groups of degree n (or, number of distinct subgroups of symmetric group S_n, counting conjugates as distinct).at n=7A005432
- Expansion of 1/(1-x^4-x^5-x^6-x^7-x^8-x^9-x^10-x^11).at n=36A017833
- Trajectory of 3 under map n->31n+1 if n odd, n->n/2 if n even.at n=6A037113
- Values of A038007 not ending in 6 or 8.at n=19A038009
- Position at which increasing values of the Improperly Reduced Fibonacci Sequence (A058981) occur.at n=17A058983
- Each permutation in the list A060118 converted to Site Swap notation, with digits reversed and inverted. "Zero throws" (fixed elements) indicated with 0's.at n=30A060499
- Multiples of 5 with digit sum 5.at n=30A069540
- Totally balanced decimal numbers: if we assign the weight w(d) = d-1 to each digit d (i.e., w(0) = -1, w(1) = 0, ..., w(9) = 8) and then read the digits of the term from left to right, the partial sum of the weights is never negative and the total weighted sum is zero.at n=26A071154
- Łukasiewicz words that are also valid asynchronic siteswap juggling patterns.at n=28A071160
- Integers whose decimal expansion satisfies the condition that if we read each term from the left to right (the most significant to the least significant digit) then each nonzero digit gives a distance to the next nonzero digit to right (with a cyclic wrap-over from the least-significant to the most significant nonzero digit).at n=19A071161
- Consider the family of multigraphs enriched by the species of partitions. Sequence gives the triangle read by rows giving coefficients of polynomials arising from enumeration of those multigraphs on n edges of 5 different colors.at n=11A098346
- G.f. satisfies: A(x) = Series_Reversion[ x/sqrt(1 + 4*A(x)) ] with A(0)=0.at n=6A140092
- Squares in lunar arithmetic in base 4 written in base 4.at n=28A171460
- Squares in lunar arithmetic in base 5 written in base 5.at n=40A171564
- a(n) = A002526(n+1) - A002527(n+1).at n=10A188379
- Describe 10^n. Also called the "Say What You See" or "Look and Say" sequence LS(10^n).at n=30A191111
- Increasing sequence generated by these rules: a(1)=1, and if x is in a then 3x-1 and x^2 are in a.at n=55A191289
- Numbers of rank 10 in the poset of lunar numbers.at n=42A191752
- Number of nX1 0..7 arrays with every element value z a city block distance of exactly z from another element value z.at n=9A209216
- Łukasiewicz words (without the last zero) for rooted plane trees where non-leaf branching can occur only at the leftmost branch of any level, but nowhere else.at n=26A209644