2,864,264

2³ × 13 × 27541

2,864,264 factors as 2^3 × 13 × 27541. Its 16 positive divisors give a proper-divisor sum of 2,919,556, so this integer is abundant. The Collatz stopping time is 76 steps.

Prime Factor Structure

Factorization String 2^3 × 13 × 27541

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 5,783,820

Proper Divisor Sum 2,919,556

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #2864261 ← → #2864291

Radix Representation

Decimal	2864264
Binary	1010111011010010001000 (22 bits)
Octal	0o12732210
Hexadecimal	0x2BB488

Divisor Catalog (16)

1 2 4 8 13 26 52 104 27,541 55,082 110,164 220,328 358,033 716,066 1,432,132 2,864,264

Collatz Trajectory (76 steps to reach 1)

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

2,864,264 1,432,132 716,066 358,033 1,074,100 537,050 268,525 805,576 402,788 201,394 100,697 302,092 151,046 75,523 226,570 113,285 339,856 169,928 84,964 42,482 21,241 63,724 31,862 15,931 47,794 23,897 71,692 35,846 17,923 53,770 26,885 80,656 40,328 20,164 10,082 5,041 15,124 7,562 3,781 11,344 5,672 2,836 1,418 709 2,128 1,064 532 266 133 400 200 100 50 25 76 38 19 58 29 88

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