λ
Harmonic Matrix

4,991,682

2 × 3 × 31 × 47 × 571
Abundant Even Composite

4,991,682 has digital root 3. The neighboring primes are 4991681 and 4991687; its proper-divisor sum differs from the starting integer by 559,740.

Prime Factor Structure

Factorization String 2 × 3 × 31 × 47 × 571
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 10,543,104
Proper Divisor Sum 5,551,422
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #4991681 ← → #4991687

Radix Representation

Decimal 4991682
Binary 10011000010101011000010 (23 bits)
Octal 0o23025302
Hexadecimal 0x4C2AC2

Divisor Catalog (32)

1 2 3 6 31 47 62 93 94 141 186 282 571 1,142 1,457 1,713 2,914 3,426 4,371 8,742 17,701 26,837 35,402 53,103 53,674 80,511 106,206 161,022 831,947 1,663,894 2,495,841 4,991,682

Collatz Trajectory (206 steps to reach 1)

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

4,991,682 2,495,841 7,487,524 3,743,762 1,871,881 5,615,644 2,807,822 1,403,911 4,211,734 2,105,867 6,317,602 3,158,801 9,476,404 4,738,202 2,369,101 7,107,304 3,553,652 1,776,826 888,413 2,665,240 1,332,620 666,310 333,155 999,466 499,733 1,499,200 749,600 374,800 187,400 93,700 46,850 23,425 70,276 35,138 17,569 52,708 26,354 13,177 39,532 19,766 9,883 29,650 14,825 44,476 22,238 11,119 33,358 16,679 50,038 25,019 75,058 37,529 112,588 56,294 28,147 84,442 42,221 126,664 63,332 31,666

More profiles

← Previous Integer #4,991,681 Browse Full Index Next Integer #4,991,683 →