λ
Harmonic Matrix

6,594,591

3 × 149 × 14753
Deficient Odd Composite

6,594,591 has digital root 3. The neighboring primes are 6594559 and 6594611; its proper-divisor sum differs from the starting integer by -4,336,782.

Prime Factor Structure

Factorization String 3 × 149 × 14753
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 8,852,400
Proper Divisor Sum 2,257,809
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #6594559 ← → #6594611

Radix Representation

Decimal 6594591
Binary 11001001010000000011111 (23 bits)
Octal 0o31120037
Hexadecimal 0x64A01F

Divisor Catalog (8)

1 3 149 447 14,753 44,259 2,198,197 6,594,591

Collatz Trajectory (116 steps to reach 1)

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

6,594,591 19,783,774 9,891,887 29,675,662 14,837,831 44,513,494 22,256,747 66,770,242 33,385,121 100,155,364 50,077,682 25,038,841 75,116,524 37,558,262 18,779,131 56,337,394 28,168,697 84,506,092 42,253,046 21,126,523 63,379,570 31,689,785 95,069,356 47,534,678 23,767,339 71,302,018 35,651,009 106,953,028 53,476,514 26,738,257 80,214,772 40,107,386 20,053,693 60,161,080 30,080,540 15,040,270 7,520,135 22,560,406 11,280,203 33,840,610 16,920,305 50,760,916 25,380,458 12,690,229 38,070,688 19,035,344 9,517,672 4,758,836 2,379,418 1,189,709 3,569,128 1,784,564 892,282 446,141 1,338,424 669,212 334,606 167,303 501,910 250,955

More profiles

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