2,525,796

2² × 3³ × 7 × 13 × 257

Prime Factor Structure

Factorization String 2^2 × 3^3 × 7 × 13 × 257

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 8,090,880

Proper Divisor Sum 5,565,084

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #2525779 ← → #2525797

Radix Representation

Decimal	2525796
Binary	1001101000101001100100 (22 bits)
Octal	0o11505144
Hexadecimal	0x268A64

Divisor Catalog (60 of 96)

1 2 3 4 6 7 9 12 13 14 18 21 26 27 28 36 39 42 52 54 63 78 84 91 108 117 126 156 182 189 234 252 257 273 351 364 378 468 514 546 702 756 771 819 1,028 1,092 1,404 1,542 1,638 1,799 2,313 2,457 3,084 3,276 3,341 3,598 4,626 4,914 5,397 6,682

Collatz Trajectory (68 steps to reach 1)

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

2,525,796 1,262,898 631,449 1,894,348 947,174 473,587 1,420,762 710,381 2,131,144 1,065,572 532,786 266,393 799,180 399,590 199,795 599,386 299,693 899,080 449,540 224,770 112,385 337,156 168,578 84,289 252,868 126,434 63,217 189,652 94,826 47,413 142,240 71,120 35,560 17,780 8,890 4,445 13,336 6,668 3,334 1,667 5,002 2,501 7,504 3,752 1,876 938 469 1,408 704 352 176 88 44 22 11 34 17 52 26 13

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