6,127,938

2 × 3² × 61 × 5581

6,127,938 factors as 2 × 3^2 × 61 × 5581. Its 24 positive divisors give a proper-divisor sum of 7,369,338, so this integer is abundant. The Collatz stopping time is 121 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 61 × 5581

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 13,497,276

Proper Divisor Sum 7,369,338

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #6127931 ← → #6127949

Radix Representation

Decimal	6127938
Binary	10111011000000101000010 (23 bits)
Octal	0o27300502
Hexadecimal	0x5D8142

Divisor Catalog (24)

1 2 3 6 9 18 61 122 183 366 549 1,098 5,581 11,162 16,743 33,486 50,229 100,458 340,441 680,882 1,021,323 2,042,646 3,063,969 6,127,938

Collatz Trajectory (121 steps to reach 1)

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

6,127,938 3,063,969 9,191,908 4,595,954 2,297,977 6,893,932 3,446,966 1,723,483 5,170,450 2,585,225 7,755,676 3,877,838 1,938,919 5,816,758 2,908,379 8,725,138 4,362,569 13,087,708 6,543,854 3,271,927 9,815,782 4,907,891 14,723,674 7,361,837 22,085,512 11,042,756 5,521,378 2,760,689 8,282,068 4,141,034 2,070,517 6,211,552 3,105,776 1,552,888 776,444 388,222 194,111 582,334 291,167 873,502 436,751 1,310,254 655,127 1,965,382 982,691 2,948,074 1,474,037 4,422,112 2,211,056 1,105,528 552,764 276,382 138,191 414,574 207,287 621,862 310,931 932,794 466,397 1,399,192

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