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Atlas › Integer Profiles › Node 6,112,300

6,112,300

22 × 52 × 19 × 3217
Abundant Even Composite

6,112,300 factors as 2^2 × 5^2 × 19 × 3217. Its 36 positive divisors give a proper-divisor sum of 7,853,820, so this integer is abundant. The Collatz stopping time is 134 steps.

Prime Factor Structure

Factorization String 2^2 × 5^2 × 19 × 3217
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 13,966,120
Proper Divisor Sum 7,853,820
Digit Sum / Digital Root 13 (Root: 4)
Adjacent Primes #6112279 ← → #6112339

Radix Representation

Decimal 6112300
Binary 10111010100010000101100 (23 bits)
Octal 0o27242054
Hexadecimal 0x5D442C

Divisor Catalog (36)

1 2 4 5 10 19 20 25 38 50 76 95 100 190 380 475 950 1,900 3,217 6,434 12,868 16,085 32,170 61,123 64,340 80,425 122,246 160,850 244,492 305,615 321,700 611,230 1,222,460 1,528,075 3,056,150 6,112,300

Collatz Trajectory (134 steps to reach 1)

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

6,112,300 3,056,150 1,528,075 4,584,226 2,292,113 6,876,340 3,438,170 1,719,085 5,157,256 2,578,628 1,289,314 644,657 1,933,972 966,986 483,493 1,450,480 725,240 362,620 181,310 90,655 271,966 135,983 407,950 203,975 611,926 305,963 917,890 458,945 1,376,836 688,418 344,209 1,032,628 516,314 258,157 774,472 387,236 193,618 96,809 290,428 145,214 72,607 217,822 108,911 326,734 163,367 490,102 245,051 735,154 367,577 1,102,732 551,366 275,683 827,050 413,525 1,240,576 620,288 310,144 155,072 77,536 38,768

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