Properties of the Number 7973

Seven Thousand Nine Hundred Seventy-Three

Basics

Value: 7972 → 7973 → 7974

Parity: odd

Prime: No

Previous Prime: 7963

Next Prime: 7993

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 7 × 17 × 67

Divisors: 1, 7, 17, 67, 119, 469, 1139, 7973

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1111100100101

Octal: 17445

Duodecimal: 4745

Hexadecimal: 1f25

Square: 63568729

Square Root: 89.29165694509202

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

a(n) = a(n-1) + a(n-7), with a(i) = 1 for i = 0..6. A5709

Number of integer partitions of n whose weak run-sums cover an initial interval of nonnegative integers. A353863

T(n,k)=Number of 0..k arrays x(0..n+1) of n+2 elements without any interior element greater than both neighbors or less than both neighbors. A200871

T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with no element unequal to a strict majority of its horizontal, diagonal and antidiagonal neighbors, with values 0..3 introduced in row major order. A231463

T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row and column sum equal to 0 1 3 6 or 7 and every 3X3 diagonal and antidiagonal sum not equal to 0 1 3 6 or 7. A252192

Products of 3 distinct non-Sophie Germain primes. A157347

T(n,k)=Number of nXk 0..1 arrays with every element unequal to 0, 1, 2, 3, 6 or 8 king-move adjacent elements, with upper left element zero. A316289

Partial sums of A365414. A365444

G.f. satisfies: A(x) = 1/(1 + x·A(x⁷)) and also the continued fraction: 1 + x·A(x⁸) = [1; 1/x, 1/x⁷, 1/x⁴⁹, 1/x³⁴³, ..., 1/x^{7^(n-1}), ...]. A101917

Composite squarefree numbers n such that p-d(n) divides n-d(n), where p are the prime factors of n and d(n) the number of divisors of n. A228300