2,617,250

2 × 5³ × 19² × 29

2,617,250 has the prime decomposition 2 × 5^3 × 19^2 × 29. Its 4 distinct prime factors produce 48 positive divisors.

Prime Factor Structure

Factorization String 2 × 5^3 × 19^2 × 29

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 5,349,240

Proper Divisor Sum 2,731,990

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #2617247 ← → #2617253

Radix Representation

Decimal	2617250
Binary	1001111110111110100010 (22 bits)
Octal	0o11767642
Hexadecimal	0x27EFA2

Divisor Catalog (48)

1 2 5 10 19 25 29 38 50 58 95 125 145 190 250 290 361 475 551 722 725 950 1,102 1,450 1,805 2,375 2,755 3,610 3,625 4,750 5,510 7,250 9,025 10,469 13,775 18,050 20,938 27,550 45,125 52,345 68,875 90,250 104,690 137,750 261,725 523,450 1,308,625 2,617,250

Collatz Trajectory (187 steps to reach 1)

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

2,617,250 1,308,625 3,925,876 1,962,938 981,469 2,944,408 1,472,204 736,102 368,051 1,104,154 552,077 1,656,232 828,116 414,058 207,029 621,088 310,544 155,272 77,636 38,818 19,409 58,228 29,114 14,557 43,672 21,836 10,918 5,459 16,378 8,189 24,568 12,284 6,142 3,071 9,214 4,607 13,822 6,911 20,734 10,367 31,102 15,551 46,654 23,327 69,982 34,991 104,974 52,487 157,462 78,731 236,194 118,097 354,292 177,146 88,573 265,720 132,860 66,430 33,215 99,646

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