1902
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 12
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 3816
- Proper Divisor Sum (Aliquot Sum)
- 1914
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- yes
Derived Values
- Euler's Totient
- 632
- Möbius Function
- -1
- Radical
- 1902
- Omega Function (Ω)
- 3
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 29
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- 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
- A generalized partition function.at n=13A002599
- Least positive unitary linear combination of distinct numbers in row n of Pascal's triangle; i.e., least positive sum of form d(0)C(n-1,0) + d(1)C(n-1,1) + ...+ d(m)C(n-1,m), d(i)=+-1, m = floor((n+1)/2).at n=18A004795
- Quadrinomial coefficients.at n=8A005719
- Number of symmetric plane partitions of n.at n=27A005987
- Coordination sequence T1 for Zeolite Code ABW and ATN.at n=30A008000
- Coordination sequence T3 for Zeolite Code LAU.at n=31A008126
- Coordination sequence T2 for Zeolite Code MEL.at n=28A008151
- Coordination sequence T6 for Zeolite Code MEL.at n=28A008155
- Coordination sequence T2 for Zeolite Code TON.at n=27A008242
- a(0) = 1, a(n) = 19*n^2 + 2 for n>0.at n=10A010009
- Place where n-th 1 occurs in A023131.at n=36A022793
- Convolution of natural numbers with composite numbers.at n=16A023539
- Numbers that are the sum of 3 distinct nonzero squares in exactly 9 ways.at n=31A025347
- Number of connected functions on n points with a loop of length 9.at n=6A032205
- Numbers k such that 165*2^k+1 is prime.at n=36A032459
- Lower of pair of consecutive happy numbers.at n=42A035502
- Conjecturally, a power of 2 written in base 3 cannot have this many 0's.at n=16A036462
- Number of partitions satisfying (cn(0,5) = 0 and cn(2,5) <= cn(1,5) and cn(3,5) <= cn(1,5) and cn(2,5) <= cn(4,5) and cn(3,5) <= cn(4,5)).at n=36A036806
- Numbers k such that 0 and 2 occur juxtaposed in the base-10 representation of k but not of k-1.at n=37A043217
- Numbers whose base-7 representation contains exactly three 5's.at n=8A043415