10977
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 24
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 14640
- Proper Divisor Sum (Aliquot Sum)
- 3663
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 7316
- Möbius Function
- 1
- Radical
- 10977
- 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
- 148
- Smith Number
- no
- 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
- no
- Odd
- yes
Appears in sequences
- Composite numbers k such that k!/k# - 1 is prime, where k# = primorial numbers A034386.at n=23A049421
- Numbers n such that the Reverse and Add! trajectory of n (presumably) does not reach a palindrome and does not join the trajectory of any term m < n.at n=27A063048
- Numbers k such that the Reverse and Add! trajectory of k (presumably) does not reach a palindrome (with the exception of k itself) and does not join the trajectory of any term m < k.at n=28A088753
- Numbers n such that the sum of largest prime factors of numbers from 1 to n is divisible by n.at n=13A088825
- Number of quasi-triominoes in an n X n bounding box.at n=16A094170
- Triangle of coefficients in the numerators of rational functions in tanh(1) that express the (2n)th du Bois-Reymond constants as C_0 = 0, C_2 = -4 - 1/(1-tanh(1)), for n>1, C_2n = -3 - (Sum_{k=0..n} a(n,k)*tanh(1)^k) / (2^n*n! * (1-tanh(1))^n).at n=36A104053
- Numbers n such that "n 42's followed by 43" is prime.at n=15A110705
- Numbers k such that k!/k#-1 is prime, where k# is the primorial function (A034386).at n=28A140293
- a(n) = 392*n + 1.at n=28A158002
- a(n) = 14*n^2 + 1.at n=27A158482
- a(n) = 56*n^2 + 1.at n=14A158660
- Number of partitions of n^3 into at most two parts.at n=28A274324
- Expansion of exp( Sum_{n>=1} sigma_2(3*n)*x^n/n ) in powers of x.at n=5A283238
- Numbers k such that the Reverse and Add! trajectory of k (presumably) does not reach a palindrome and does not join the trajectory or one of the reverse numbers of the trajectory of any term m < k.at n=26A306232
- Numbers missing from A317416.at n=1A317418
- a(n) = 2 + n^2*floor((n+3)/2) + floor(3*n/2).at n=26A370754