Properties of the Number 72522

Seventy-Two Thousand Five Hundred Twenty-Two

Basics

Value: 72521 → 72522 → 72523

Parity: even

Prime: No

Previous Prime: 72503

Next Prime: 72533

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 × 3 ³ × 17 × 79

Divisors: 1, 2, 3, 6, 9, 17, 18, 27, 34, 51

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 10001101101001010

Octal: 215512

Duodecimal: 35B76

Hexadecimal: 11b4a

Square: 5259440484

Square Root: 269.2990902324031

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

Table read by antidiagonals: T(w,n) is the number of n-step self avoiding walks on a 3D cubic lattice confined inside a tube of cross section 2w X 2w where the walk starts at the middle of the tube. A337400

Number of partitions of n which contain their signature as a subpartition. A118052

a(n+3) = a(n) - a(n+1) - a(n+2); a(0) = -5, a(1) = 6, a(2) = 0. A105580

Numbers such that the decimal digits of σ(n) are a permutation of those of σ(n)-n. A277114

Numbers k such that k and k+2 are both unitary untouchable numbers (A063948). A357323

Triangle read by rows: T(m, n, k) = 1 if k = 0 and T(m, n, k - 1) if k = n; otherwise (-1)^m*(k - n - 1)^m * T(m, n, k - 1) + T(m, n - 1, k) where m = 3. A371996

Numbers k such that 97·10^k - 3 is prime. A281111

Smallest number a(n)>a(n-1) such that T(a(n-1))+T(a(n))=T(m) for some m, a(1)=3; T(i) are the triangular numbers. A72522

Number of integer sequences of length n+1 with sum zero and sum of absolute values 38. A157068