1,257,624

2³ × 3² × 17467

1,257,624 has the prime decomposition 2^3 × 3^2 × 17467. Its 3 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 17467

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 3,406,260

Proper Divisor Sum 2,148,636

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #1257611 ← → #1257647

Radix Representation

Decimal	1257624
Binary	100110011000010011000 (21 bits)
Octal	0o4630230
Hexadecimal	0x133098

Divisor Catalog (24)

1 2 3 4 6 8 9 12 18 24 36 72 17,467 34,934 52,401 69,868 104,802 139,736 157,203 209,604 314,406 419,208 628,812 1,257,624

Collatz Trajectory (129 steps to reach 1)

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

1,257,624 628,812 314,406 157,203 471,610 235,805 707,416 353,708 176,854 88,427 265,282 132,641 397,924 198,962 99,481 298,444 149,222 74,611 223,834 111,917 335,752 167,876 83,938 41,969 125,908 62,954 31,477 94,432 47,216 23,608 11,804 5,902 2,951 8,854 4,427 13,282 6,641 19,924 9,962 4,981 14,944 7,472 3,736 1,868 934 467 1,402 701 2,104 1,052 526 263 790 395 1,186 593 1,780 890 445 1,336

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