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Atlas › Integer Profiles › Node 12,825,100

12,825,100

22 × 52 × 277 × 463
Abundant Even Composite

12,825,100 factors as 2^2 × 5^2 × 277 × 463. Its 36 positive divisors give a proper-divisor sum of 15,166,164, so this integer is abundant. The Collatz stopping time is 241 steps.

Prime Factor Structure

Factorization String 2^2 × 5^2 × 277 × 463
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 27,991,264
Proper Divisor Sum 15,166,164
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #12825083 ← → #12825107

Radix Representation

Decimal 12825100
Binary 110000111011001000001100 (24 bits)
Octal 0o60731014
Hexadecimal 0xC3B20C

Divisor Catalog (36)

1 2 4 5 10 20 25 50 100 277 463 554 926 1,108 1,385 1,852 2,315 2,770 4,630 5,540 6,925 9,260 11,575 13,850 23,150 27,700 46,300 128,251 256,502 513,004 641,255 1,282,510 2,565,020 3,206,275 6,412,550 12,825,100

Collatz Trajectory (241 steps to reach 1)

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

12,825,100 6,412,550 3,206,275 9,618,826 4,809,413 14,428,240 7,214,120 3,607,060 1,803,530 901,765 2,705,296 1,352,648 676,324 338,162 169,081 507,244 253,622 126,811 380,434 190,217 570,652 285,326 142,663 427,990 213,995 641,986 320,993 962,980 481,490 240,745 722,236 361,118 180,559 541,678 270,839 812,518 406,259 1,218,778 609,389 1,828,168 914,084 457,042 228,521 685,564 342,782 171,391 514,174 257,087 771,262 385,631 1,156,894 578,447 1,735,342 867,671 2,603,014 1,301,507 3,904,522 1,952,261 5,856,784 2,928,392

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