λ
Harmonic Matrix

5,896,130

2 × 5 × 239 × 2467
Deficient Even Composite

5,896,130 has digital root 5. The neighboring primes are 5896129 and 5896133; its proper-divisor sum differs from the starting integer by -1,130,500.

Prime Factor Structure

Factorization String 2 × 5 × 239 × 2467
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 10,661,760
Proper Divisor Sum 4,765,630
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #5896129 ← → #5896133

Radix Representation

Decimal 5896130
Binary 10110011111011111000010 (23 bits)
Octal 0o26373702
Hexadecimal 0x59F7C2

Divisor Catalog (16)

1 2 5 10 239 478 1,195 2,390 2,467 4,934 12,335 24,670 589,613 1,179,226 2,948,065 5,896,130

Collatz Trajectory (121 steps to reach 1)

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

5,896,130 2,948,065 8,844,196 4,422,098 2,211,049 6,633,148 3,316,574 1,658,287 4,974,862 2,487,431 7,462,294 3,731,147 11,193,442 5,596,721 16,790,164 8,395,082 4,197,541 12,592,624 6,296,312 3,148,156 1,574,078 787,039 2,361,118 1,180,559 3,541,678 1,770,839 5,312,518 2,656,259 7,968,778 3,984,389 11,953,168 5,976,584 2,988,292 1,494,146 747,073 2,241,220 1,120,610 560,305 1,680,916 840,458 420,229 1,260,688 630,344 315,172 157,586 78,793 236,380 118,190 59,095 177,286 88,643 265,930 132,965 398,896 199,448 99,724 49,862 24,931 74,794 37,397

More profiles

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