Properties of the Number 7075

Seven Thousand Seventy-Five

Basics

Value: 7074 → 7075 → 7076

Parity: odd

Prime: No

Previous Prime: 7069

Next Prime: 7079

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 5 ² × 283

Divisors: 1, 5, 25, 283, 1415, 7075

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1101110100011

Octal: 15643

Duodecimal: 4117

Hexadecimal: 1ba3

Square: 50055625

Square Root: 84.1130192063036

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: No

Perfect Number: No

Special

Kaprekar Constant: No

Munchausen Constant: No

Armstrong Number: No

Kaprekar Number: No

Catalan Number: No

Vampire Number: No

Taxicab Number: No

Super Prime: No

Friedman Number: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

Number of n-stacks with strictly receding walls, or the number of Type A partitions of n in the sense of Auluck (1951). A1522

Numbers that are the sum of 9 positive 7th powers. A3376

Numbers that are the sum of 5 nonzero 8th powers. A3383

T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with every 2X2 subblock summing to 4. A183632

Least positive integer k with prime(k)²-2 and prime(prime(k))²-2 both prime such that prime(k·n)²-2 and prime(prime(k·n))²-2 are all prime. A261281

a(n) = A273059(4n+3). A275919

T(n, 2·n-3), T given by A027960. A27965

Numbers k congruent to 1 or 5 mod 6, for which A064989(A064989(σ(k))) > A064989(A064989(k)), where A064989 shifts the prime factorization one step towards lower primes, and σ is the sum of divisors function. A348754

a(n) = (n³ + 6n² - n + 12)/6. A74742

T(n,k)=Number of nXk 0..2 arrays with every row having the same least squares slope fit to a straight line, and every column the same least squares slope fit to a straight line, with a single point array taken as having zero slope. A223022