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Atlas › Integer Profiles › Node 19,251,050

19,251,050

2 × 52 × 7 × 13 × 4231
Abundant Even Composite

19,251,050 factors as 2 × 5^2 × 7 × 13 × 4231. Its 48 positive divisors give a proper-divisor sum of 24,829,462, so this integer is abundant. The Collatz stopping time is 120 steps.

Prime Factor Structure

Factorization String 2 × 5^2 × 7 × 13 × 4231
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 44,080,512
Proper Divisor Sum 24,829,462
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #19251013 ← → #19251053

Radix Representation

Decimal 19251050
Binary 1001001011011111101101010 (25 bits)
Octal 0o111337552
Hexadecimal 0x125BF6A

Divisor Catalog (48)

1 2 5 7 10 13 14 25 26 35 50 65 70 91 130 175 182 325 350 455 650 910 2,275 4,231 4,550 8,462 21,155 29,617 42,310 55,003 59,234 105,775 110,006 148,085 211,550 275,015 296,170 385,021 550,030 740,425 770,042 1,375,075 1,480,850 1,925,105 2,750,150 3,850,210 9,625,525 19,251,050

Collatz Trajectory (120 steps to reach 1)

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

19,251,050 9,625,525 28,876,576 14,438,288 7,219,144 3,609,572 1,804,786 902,393 2,707,180 1,353,590 676,795 2,030,386 1,015,193 3,045,580 1,522,790 761,395 2,284,186 1,142,093 3,426,280 1,713,140 856,570 428,285 1,284,856 642,428 321,214 160,607 481,822 240,911 722,734 361,367 1,084,102 542,051 1,626,154 813,077 2,439,232 1,219,616 609,808 304,904 152,452 76,226 38,113 114,340 57,170 28,585 85,756 42,878 21,439 64,318 32,159 96,478 48,239 144,718 72,359 217,078 108,539 325,618 162,809 488,428 244,214 122,107

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