Properties of the Number 73472

Seventy-Three Thousand Four Hundred Seventy-Two

Basics

Value: 73471 → 73472 → 73473

Parity: even

Prime: No

Previous Prime: 73471

Next Prime: 73477

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 2 ⁸ × 7 × 41

Divisors: 1, 2, 4, 7, 8, 14, 16, 28, 32, 41

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10001111100000000

Octal: 217400

Duodecimal: 36628

Hexadecimal: 11f00

Square: 5398134784

Square Root: 271.05718953755866

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

Expansion of 1/(1 - x*∏_k>=1 1/(1 + x^k)^k). A299212

Antidiagonal sums of the convolution array A213571. A213581

Triangle of Delannoy paths counted by number of diagonal steps not preceded by an east step. A110446

Irregular triangle read by rows: coefficients of minimal polynomial of a certain algebraic number S2(2·k) from Q(2·cos(π/(2·k))) related to the regular (2·k)-gon. A228782

Number of strings of numbers x(i=1..7) in 0..n with sum i·x(i)³ equal to 7·n³. A184724

Number of -3..3 arrays x(i) of n+1 elements i=1..n+1 with set{t,u,v in 0,1}((x[i+t]+x[j+u]+x[k+v])*(-1)^t+u+v) having four, six, seven or eight distinct values for every i,j,k<=n. A211757

Triangle of Arnold L(b) for Springer numbers. A256665

G.f. A(x) satisfies: ∑_n>=0 ∏_k=1..n x^n+1-k + A(x)^k = 1. A306068

a(n) = ∑_k=1..n ceiling(k⁴/n). A14816

Trisection of A007294. A73472