42,294

2 × 3 × 7 × 19 × 53

42,294 has the prime decomposition 2 × 3 × 7 × 19 × 53. Its 5 distinct prime factors produce 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 7 × 19 × 53

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 103,680

Proper Divisor Sum 61,386

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #42293 ← → #42299

Radix Representation

Decimal	42294
Binary	1010010100110110 (16 bits)
Octal	0o122466
Hexadecimal	0xA536

Divisor Catalog (32)

1 2 3 6 7 14 19 21 38 42 53 57 106 114 133 159 266 318 371 399 742 798 1,007 1,113 2,014 2,226 3,021 6,042 7,049 14,098 21,147 42,294

Collatz Trajectory (132 steps to reach 1)

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

42,294 21,147 63,442 31,721 95,164 47,582 23,791 71,374 35,687 107,062 53,531 160,594 80,297 240,892 120,446 60,223 180,670 90,335 271,006 135,503 406,510 203,255 609,766 304,883 914,650 457,325 1,371,976 685,988 342,994 171,497 514,492 257,246 128,623 385,870 192,935 578,806 289,403 868,210 434,105 1,302,316 651,158 325,579 976,738 488,369 1,465,108 732,554 366,277 1,098,832 549,416 274,708 137,354 68,677 206,032 103,016 51,508 25,754 12,877 38,632 19,316 9,658

← Previous Integer #42,293 Browse Full Index Next Integer #42,295 →