λ
Harmonic Matrix

5,875,878

2 × 3 × 979313
Abundant Even Composite

5,875,878 has digital root 3. The neighboring primes are 5875867 and 5875901; its proper-divisor sum differs from the starting integer by 12.

Prime Factor Structure

Factorization String 2 × 3 × 979313
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 11,751,768
Proper Divisor Sum 5,875,890
Digit Sum / Digital Root 48 (Root: 3)
Adjacent Primes #5875867 ← → #5875901

Radix Representation

Decimal 5875878
Binary 10110011010100010100110 (23 bits)
Octal 0o26324246
Hexadecimal 0x59A8A6

Divisor Catalog (8)

1 2 3 6 979,313 1,958,626 2,937,939 5,875,878

Collatz Trajectory (320 steps to reach 1)

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

5,875,878 2,937,939 8,813,818 4,406,909 13,220,728 6,610,364 3,305,182 1,652,591 4,957,774 2,478,887 7,436,662 3,718,331 11,154,994 5,577,497 16,732,492 8,366,246 4,183,123 12,549,370 6,274,685 18,824,056 9,412,028 4,706,014 2,353,007 7,059,022 3,529,511 10,588,534 5,294,267 15,882,802 7,941,401 23,824,204 11,912,102 5,956,051 17,868,154 8,934,077 26,802,232 13,401,116 6,700,558 3,350,279 10,050,838 5,025,419 15,076,258 7,538,129 22,614,388 11,307,194 5,653,597 16,960,792 8,480,396 4,240,198 2,120,099 6,360,298 3,180,149 9,540,448 4,770,224 2,385,112 1,192,556 596,278 298,139 894,418 447,209 1,341,628

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