7078
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 22
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 10620
- Proper Divisor Sum (Aliquot Sum)
- 3542
- 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
- 3538
- Möbius Function
- 1
- Radical
- 7078
- 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
- 57
- 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
- Numbers that are the sum of 12 positive 7th powers.at n=40A003379
- Numbers that are the sum of 8 nonzero 8th powers.at n=11A003386
- Aliquot sequence starting at 180.at n=44A008891
- Numbers k such that the continued fraction for sqrt(k) has period 94.at n=14A020433
- Numbers k such that k^2 is palindromic in base 13.at n=22A029998
- 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 84.at n=2A031582
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 40 ones.at n=33A031808
- Decimal part of cube root of a(n) starts with 2: first term of runs.at n=18A034128
- Revert transform of (-1 + 2x + x^2)/(-1 + x + 2x^2 + x^3).at n=8A049127
- Main diagonal of A082228.at n=42A082231
- "The partial sums of the positions where T occurs in this sentence are one, eight, twentyfive, fortynine, eightythree, onehundredtwentysix, ..." (Variation of Aronson's sequence).at n=37A089613
- Numerators of "Farey fraction" approximations to Pi.at n=46A097545
- Partial sum of irregular primes A000928.at n=25A132360
- Ulam's spiral (WNW spoke).at n=21A143859
- G.f. satisfies: A(x) = 1 + x*A(x)^2*A(2x).at n=5A168602
- The magic constants of 6 X 6 magic squares composed of consecutive primes.at n=36A177434
- Generalized Markoff numbers: largest of 7-tuple of positive numbers a, b, c, d, e, f, g satisfying the Markoff(7) equation a^2+b^2+c^2+d^2+e^2+f^2+g^2 = 2abcdefg.at n=21A227210
- Number of nX4 0..5 arrays x(i,j) with each element horizontally or vertically next to at least one element with value (x(i,j)+1) mod 6, and upper left element zero.at n=3A230590
- T(n,k)=Number of nXk 0..5 arrays x(i,j) with each element horizontally or vertically next to at least one element with value (x(i,j)+1) mod 6, and upper left element zero.at n=24A230592
- Number of partitions of n such that the number of even parts is a part and the number of odd parts is not a part.at n=37A240577