6,138,300

2² × 3 × 5² × 7 × 37 × 79

6,138,300 factors as 2^2 × 3 × 5^2 × 7 × 37 × 79. Its 144 positive divisors give a proper-divisor sum of 14,971,460, so this integer is abundant. The Collatz stopping time is 165 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 5^2 × 7 × 37 × 79

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 144

Divisor Sum (σ) 21,109,760

Proper Divisor Sum 14,971,460

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #6138299 ← → #6138313

Radix Representation

Decimal	6138300
Binary	10111011010100110111100 (23 bits)
Octal	0o27324674
Hexadecimal	0x5DA9BC

Divisor Catalog (60 of 144)

1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 37 42 50 60 70 74 75 79 84 100 105 111 140 148 150 158 175 185 210 222 237 259 300 316 350 370 395 420 444 474 518 525 553 555 700 740 777 790 925 948 1,036 1,050 1,106

Collatz Trajectory (165 steps to reach 1)

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

6,138,300 3,069,150 1,534,575 4,603,726 2,301,863 6,905,590 3,452,795 10,358,386 5,179,193 15,537,580 7,768,790 3,884,395 11,653,186 5,826,593 17,479,780 8,739,890 4,369,945 13,109,836 6,554,918 3,277,459 9,832,378 4,916,189 14,748,568 7,374,284 3,687,142 1,843,571 5,530,714 2,765,357 8,296,072 4,148,036 2,074,018 1,037,009 3,111,028 1,555,514 777,757 2,333,272 1,166,636 583,318 291,659 874,978 437,489 1,312,468 656,234 328,117 984,352 492,176 246,088 123,044 61,522 30,761 92,284 46,142 23,071 69,214 34,607 103,822 51,911 155,734 77,867 233,602

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