6,259,400

2³ × 5² × 7 × 17 × 263

6,259,400 factors as 2^3 × 5^2 × 7 × 17 × 263. Its 96 positive divisors give a proper-divisor sum of 11,418,040, so this integer is abundant. The Collatz stopping time is 134 steps.

Prime Factor Structure

Factorization String 2^3 × 5^2 × 7 × 17 × 263

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 17,677,440

Proper Divisor Sum 11,418,040

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #6259397 ← → #6259453

Radix Representation

Decimal	6259400
Binary	10111111000001011001000 (23 bits)
Octal	0o27701310
Hexadecimal	0x5F82C8

Divisor Catalog (60 of 96)

1 2 4 5 7 8 10 14 17 20 25 28 34 35 40 50 56 68 70 85 100 119 136 140 170 175 200 238 263 280 340 350 425 476 526 595 680 700 850 952 1,052 1,190 1,315 1,400 1,700 1,841 2,104 2,380 2,630 2,975 3,400 3,682 4,471 4,760 5,260 5,950 6,575 7,364 8,942 9,205

Collatz Trajectory (134 steps to reach 1)

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

6,259,400 3,129,700 1,564,850 782,425 2,347,276 1,173,638 586,819 1,760,458 880,229 2,640,688 1,320,344 660,172 330,086 165,043 495,130 247,565 742,696 371,348 185,674 92,837 278,512 139,256 69,628 34,814 17,407 52,222 26,111 78,334 39,167 117,502 58,751 176,254 88,127 264,382 132,191 396,574 198,287 594,862 297,431 892,294 446,147 1,338,442 669,221 2,007,664 1,003,832 501,916 250,958 125,479 376,438 188,219 564,658 282,329 846,988 423,494 211,747 635,242 317,621 952,864 476,432 238,216

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