1270
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 10
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 2304
- Proper Divisor Sum (Aliquot Sum)
- 1034
- 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
- 504
- Möbius Function
- -1
- Radical
- 1270
- 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
- no
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 31
- 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
- Coefficients of modular function g_2(tau).at n=6A003296
- Numbers that are the sum of 5 positive 5th powers.at n=26A003350
- Coordination sequence T1 for Zeolite Code ANA.at n=23A008031
- Coordination sequence T4 for Zeolite Code PAU.at n=26A008222
- Coordination sequence T1 for Zeolite Code YUG.at n=23A008247
- Molien series for Weyl group E_8.at n=48A008582
- Coordination sequence T4 for Zeolite Code -CHI.at n=23A009849
- Numbers k such that phi(k) | sigma(k + 6).at n=54A015844
- Expansion of 1/(1-x^5-x^6-x^7).at n=48A017838
- Ceiling of Gamma(n+1/6)/Gamma(1/6).at n=8A020126
- Numbers k such that the continued fraction for sqrt(k) has period 26.at n=28A020365
- Expansion of 1/((1-x)*(1-3*x)*(1-4*x)*(1-7*x)).at n=3A021364
- Numbers k such that Fibonacci(k) == -55 (mod k).at n=29A023170
- Numbers with exactly 3 0's in their base 5 expansion.at n=27A023724
- a(n) = floor( (2nd elementary symmetric function of S(n))/(first elementary symmetric function of S(n)) ), where S(n) = {first n+1 positive integers congruent to 1 mod 3}.at n=40A024219
- a(n) = Sum_{j=1..floor((n+1)/2)} A023531(j)*prime(n-j+1).at n=58A024328
- a(n) = s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n+1-k), where k = [ (n+1)/2 ], s = A023532, t = A000201 (lower Wythoff sequence).at n=50A024373
- Position of n^2 + (n+1)^2 in A000404 (sums of 2 nonzero squares).at n=46A024519
- s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n-k+1), where k = [ n/2 ], s = A023531, t = (primes).at n=57A024891
- Index of 10^n within the sequence of the numbers of the form 2^i*10^j.at n=27A025740