5588
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 26
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 10752
- Proper Divisor Sum (Aliquot Sum)
- 5164
- 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
- 2520
- Möbius Function
- 0
- Radical
- 2794
- Omega Function (Ω)
- 4
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 36
- 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 partitions of n into 3 or more parts.at n=29A004250
- Coordination sequence for quartz.at n=42A008261
- Number of terms in 6th derivative of a function composed with itself n times.at n=10A022816
- a(n) = s(1)s(n) + s(2)s(n-1) + ... + s(k)s(n+1-k), where k = [ (n+1)/2 ], s = (1, p(1), p(2), ...).at n=21A024479
- a(n) = s(1)s(n) + s(2)s(n-1) + ... + s(k)s(n-k+1), where k = [ n/2 ], s = (1, p(1), p(2), ...).at n=20A025099
- Write 1,2,... in a clockwise spiral; sequence gives numbers on positive x axis.at n=37A033951
- Numbers whose base-7 representation contains exactly four 2's.at n=6A043404
- Number of conjugacy classes in the symmetric group S_n that have even number of elements.at n=29A060643
- Numbers k such that A064604(k) is divisible by k.at n=7A064607
- Number of plane partitions of n with 3 or more columns.at n=14A089924
- Rounded frequencies in Hertz of the notes of the C major music scale beginning at A (A Minor equal-tempered).at n=47A101285
- Sum of the divisors of pentagonal numbers.at n=42A117948
- Numbers k such that the k-th triangular number contains only digits {1,5,6}.at n=21A119133
- Index of first occurrence of n in A122921.at n=45A122925
- Number of base 16 circular n-digit numbers with adjacent digits differing by 1 or less.at n=7A124709
- a(0)=0. a(n) = a(n-1) + sum of positive integers which are <= n and not part of the sequence.at n=33A129694
- Elias omega coded prime numbers represented in decimal.at n=15A147764
- Partial sums of regular primes A007703.at n=45A172289
- Numbers k such that d(k) = d(k+1) = 12.at n=38A174456
- Number of n X 2 binary arrays with each sum of a(1..i,1..j) no greater than i*j/2 and rows and columns in nondecreasing order.at n=42A183409