52,332

2² × 3 × 7² × 89

52,332 is even and not a perfect square. Its factorization is 2^2 × 3 × 7^2 × 89 and its 36 divisors sum to 143,640.

Prime Factor Structure

Factorization String 2^2 × 3 × 7^2 × 89

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 143,640

Proper Divisor Sum 91,308

Digit Sum / Digital Root 15 (Root: 6)

Adjacent Primes #52321 ← → #52361

Radix Representation

Decimal	52332
Binary	1100110001101100 (16 bits)
Octal	0o146154
Hexadecimal	0xCC6C

Divisor Catalog (36)

1 2 3 4 6 7 12 14 21 28 42 49 84 89 98 147 178 196 267 294 356 534 588 623 1,068 1,246 1,869 2,492 3,738 4,361 7,476 8,722 13,083 17,444 26,166 52,332

Collatz Trajectory (153 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

52,332 26,166 13,083 39,250 19,625 58,876 29,438 14,719 44,158 22,079 66,238 33,119 99,358 49,679 149,038 74,519 223,558 111,779 335,338 167,669 503,008 251,504 125,752 62,876 31,438 15,719 47,158 23,579 70,738 35,369 106,108 53,054 26,527 79,582 39,791 119,374 59,687 179,062 89,531 268,594 134,297 402,892 201,446 100,723 302,170 151,085 453,256 226,628 113,314 56,657 169,972 84,986 42,493 127,480 63,740 31,870 15,935 47,806 23,903 71,710

← Previous Integer #52,331 Browse Full Index Next Integer #52,333 →