2,125,968

2⁴ × 3 × 13 × 3407

2,125,968 has the prime decomposition 2^4 × 3 × 13 × 3407. Its 4 distinct prime factors produce 40 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 3 × 13 × 3407

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 5,916,288

Proper Divisor Sum 3,790,320

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #2125939 ← → #2125987

Radix Representation

Decimal	2125968
Binary	1000000111000010010000 (22 bits)
Octal	0o10070220
Hexadecimal	0x207090

Divisor Catalog (40)

1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 624 3,407 6,814 10,221 13,628 20,442 27,256 40,884 44,291 54,512 81,768 88,582 132,873 163,536 177,164 265,746 354,328 531,492 708,656 1,062,984 2,125,968

Collatz Trajectory (197 steps to reach 1)

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

2,125,968 1,062,984 531,492 265,746 132,873 398,620 199,310 99,655 298,966 149,483 448,450 224,225 672,676 336,338 168,169 504,508 252,254 126,127 378,382 189,191 567,574 283,787 851,362 425,681 1,277,044 638,522 319,261 957,784 478,892 239,446 119,723 359,170 179,585 538,756 269,378 134,689 404,068 202,034 101,017 303,052 151,526 75,763 227,290 113,645 340,936 170,468 85,234 42,617 127,852 63,926 31,963 95,890 47,945 143,836 71,918 35,959 107,878 53,939 161,818 80,909

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