1,261,325

5² × 13 × 3881

1,261,325 has the prime decomposition 5^2 × 13 × 3881. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 5^2 × 13 × 3881

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 1,684,788

Proper Divisor Sum 423,463

Digit Sum / Digital Root 20 (Root: 2)

Adjacent Primes #1261321 ← → #1261327

Radix Representation

Decimal	1261325
Binary	100110011111100001101 (21 bits)
Octal	0o4637415
Hexadecimal	0x133F0D

Divisor Catalog (12)

1 5 13 25 65 325 3,881 19,405 50,453 97,025 252,265 1,261,325

Collatz Trajectory (204 steps to reach 1)

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

1,261,325 3,783,976 1,891,988 945,994 472,997 1,418,992 709,496 354,748 177,374 88,687 266,062 133,031 399,094 199,547 598,642 299,321 897,964 448,982 224,491 673,474 336,737 1,010,212 505,106 252,553 757,660 378,830 189,415 568,246 284,123 852,370 426,185 1,278,556 639,278 319,639 958,918 479,459 1,438,378 719,189 2,157,568 1,078,784 539,392 269,696 134,848 67,424 33,712 16,856 8,428 4,214 2,107 6,322 3,161 9,484 4,742 2,371 7,114 3,557 10,672 5,336 2,668 1,334

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