10144
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 10
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 20034
- Proper Divisor Sum (Aliquot Sum)
- 9890
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5056
- Möbius Function
- 0
- Radical
- 634
- Omega Function (Ω)
- 6
- 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
- 42
- 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
- a(n+3) = a(n+2) + a(n+1) + a(n) - 4.at n=16A000803
- Rook polynomials.at n=14A004306
- Even heptagonal numbers (A000566).at n=32A014640
- Numbers k such that the continued fraction for sqrt(k) has period 96.at n=20A020435
- Positive numbers k such that k and 4*k are anagrams in base 6 (written in base 6).at n=0A023066
- Expansion of (theta_3(z)*theta_3(5z)+theta_2(z)*theta_2(5z))^4.at n=24A028589
- 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 49.at n=36A031547
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 48 ones.at n=37A031816
- Positive numbers having the same set of digits in base 7 and base 10.at n=26A037440
- Denominators of continued fraction convergents to sqrt(977).at n=8A042891
- a(n) = 1 + (number of partitions of n, n>0).at n=33A052810
- Open 3-dimensional ball numbers (version 4): a(n) is the number of integer points (i,j,k) contained in an open ball of diameter n, centered at (1/2, 1/2, 1/2).at n=27A053596
- a(n) = A061086(n) / n.at n=11A061087
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 97 ).at n=26A063370
- prime(2n) + prime(n) == 0 (mod n).at n=18A066896
- Third binomial transform of A010685 (period 2: repeat 1,4).at n=6A080960
- Numbers n which when converted to some base between 2 and 9 yield a result with the same digits as n in a different order.at n=46A090144
- Heptagonal numbers for which the digital root is also a heptagonal number.at n=29A117663
- Numbers whose base-10 and base-7 representations are permutations of the same multiset of digits.at n=18A130604
- Numbers k such that for any single digit d of k the d-th semiprime sp(k) is substring of k.at n=24A135441