245,754

2 × 3⁴ × 37 × 41

245,754 factors as 2 × 3^4 × 37 × 41. Its 40 positive divisors give a proper-divisor sum of 333,594, so this integer is abundant. The Collatz stopping time is 243 steps.

Prime Factor Structure

Factorization String 2 × 3^4 × 37 × 41

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 579,348

Proper Divisor Sum 333,594

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #245753 ← → #245759

Radix Representation

Decimal	245754
Binary	111011111111111010 (18 bits)
Octal	0o737772
Hexadecimal	0x3BFFA

Divisor Catalog (40)

1 2 3 6 9 18 27 37 41 54 74 81 82 111 123 162 222 246 333 369 666 738 999 1,107 1,517 1,998 2,214 2,997 3,034 3,321 4,551 5,994 6,642 9,102 13,653 27,306 40,959 81,918 122,877 245,754

Collatz Trajectory (243 steps to reach 1)

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

245,754 122,877 368,632 184,316 92,158 46,079 138,238 69,119 207,358 103,679 311,038 155,519 466,558 233,279 699,838 349,919 1,049,758 524,879 1,574,638 787,319 2,361,958 1,180,979 3,542,938 1,771,469 5,314,408 2,657,204 1,328,602 664,301 1,992,904 996,452 498,226 249,113 747,340 373,670 186,835 560,506 280,253 840,760 420,380 210,190 105,095 315,286 157,643 472,930 236,465 709,396 354,698 177,349 532,048 266,024 133,012 66,506 33,253 99,760 49,880 24,940 12,470 6,235 18,706 9,353

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