12200
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
- 24
- Divisor Sum
- 28830
- Proper Divisor Sum (Aliquot Sum)
- 16630
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4800
- Möbius Function
- 0
- Radical
- 610
- 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
- 112
- 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
- Numbers k such that phi(k) + 5 | sigma(k).at n=8A015796
- From George Gilbert's marks problem: jumping 7 marks at a time (initial positions).at n=21A019997
- Fibonacci sequence beginning 0, 20.at n=15A022354
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 55.at n=24A031553
- Product of n with sum of next n consecutive integers.at n=19A036659
- Denominators of continued fraction convergents to sqrt(688).at n=7A042323
- In the list of divisors of n (in base 3), each digit 0-2 appears equally often.at n=5A045811
- n written efficiently in natural numbers base, i.e., in form ...wxyz where n =1*z + 2*y + 3*x + 4*w + ... with z < 1, y < 2, x < 3, w < 4, ...at n=17A055992
- A064637 converted to factorial base.at n=12A064477
- Multiples of 5 with digit sum 5.at n=33A069540
- 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=31A071154
- Keep only the middle digit of each integer and concatenate them. The result is the concatenation of all integers of the sequence.at n=38A106003
- 10 times A007623.at n=40A124252
- Triangle read by rows: T(n,k) is the number of Dyck paths of semilength n having k DUDU's starting at level 1.at n=38A135333
- Number of Dyck paths of semilength n having no DUDU's starting at level 1.at n=10A135339
- Numbers of rank 11 in the poset of lunar numbers.at n=19A191753
- 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=25A209644
- Numbers which are the sums of consecutive fifth powers.at n=20A217845
- Number of n X n 0..5 matrices with each 2X2 subblock idempotent.at n=9A224662
- Number of n-edge ordered trees with bicolored boundary edges.at n=7A228197