2902
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 13
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 4356
- Proper Divisor Sum (Aliquot Sum)
- 1454
- 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
- 1450
- Möbius Function
- 1
- Radical
- 2902
- Omega Function (Ω)
- 2
- 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
- 141
- Smith Number
- yes
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- Squarefree Number
- yes
- 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 Twopins positions.at n=41A005686
- Coordination sequence T2 for Zeolite Code CON.at n=38A009869
- a(0) = 1, a(n) = 29*n^2 + 2 for n>0.at n=10A010019
- Expansion of 1/((1-2x)(1-4x)(1-5x)(1-9x)).at n=3A025961
- 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 52.at n=15A031550
- Multiplicity of highest weight (or singular) vectors associated with character chi_117 of Monster module.at n=36A034505
- Number of partitions of n with equal number of parts congruent to each of 0, 1 and 2 (mod 5).at n=51A035572
- Number of split numbers (A036382) with binary order (A029837) n, i.e., those in interval [ 2^(n-1), 2^n ].at n=12A036385
- Digit sum of 'even' number equals digit sum of 'sum' and 'juxtaposition' of its prime factors (counted with multiplicity).at n=29A036926
- Number of partitions satisfying cn(0,5) <= cn(1,5) + cn(4,5) + cn(2,5) and cn(0,5) <= cn(1,5) + cn(4,5) + cn(3,5).at n=27A039844
- From substitutional generation of Kolakoski sequence (A000002).at n=18A042942
- Numbers k such that the string 7,4 occurs in the base 9 representation of k but not of k-1.at n=39A044318
- Numbers n such that string 0,2 occurs in the base 10 representation of n but not of n-1.at n=30A044334
- Numbers n such that string 0,2 occurs in the base 10 representation of n but not of n+1.at n=30A044715
- Number of binary words of length n (beginning 0) with autocorrelation function 2^(n-1)+3.at n=15A045693
- McKay-Thompson series of class 36A for Monster.at n=33A058644
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 92 ).at n=19A063365
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 95 ).at n=9A063368
- Numbers that in base 2 need eleven 'Reverse and Add' steps to reach a palindrome.at n=38A066132
- Semiprimes of form prime - 1.at n=47A077065