λ
Harmonic Matrix

8,287,311

3 × 2762437
Deficient Odd Composite

8,287,311 has digital root 3. The neighboring primes are 8287309 and 8287327; its proper-divisor sum differs from the starting integer by -5,524,870.

Prime Factor Structure

Factorization String 3 × 2762437
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 11,049,752
Proper Divisor Sum 2,762,441
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #8287309 ← → #8287327

Radix Representation

Decimal 8287311
Binary 11111100111010001001111 (23 bits)
Octal 0o37472117
Hexadecimal 0x7E744F

Divisor Catalog (4)

1 3 2,762,437 8,287,311

Collatz Trajectory (186 steps to reach 1)

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

8,287,311 24,861,934 12,430,967 37,292,902 18,646,451 55,939,354 27,969,677 83,909,032 41,954,516 20,977,258 10,488,629 31,465,888 15,732,944 7,866,472 3,933,236 1,966,618 983,309 2,949,928 1,474,964 737,482 368,741 1,106,224 553,112 276,556 138,278 69,139 207,418 103,709 311,128 155,564 77,782 38,891 116,674 58,337 175,012 87,506 43,753 131,260 65,630 32,815 98,446 49,223 147,670 73,835 221,506 110,753 332,260 166,130 83,065 249,196 124,598 62,299 186,898 93,449 280,348 140,174 70,087 210,262 105,131 315,394

More profiles

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