λ
Harmonic Matrix

5,336,232

23 × 3 × 11 × 17 × 29 × 41
Abundant Even Composite

5,336,232 has digital root 6. The neighboring primes are 5336231 and 5336237; its proper-divisor sum differs from the starting integer by 5,657,136.

Prime Factor Structure

Factorization String 2^3 × 3 × 11 × 17 × 29 × 41
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 128
Divisor Sum (σ) 16,329,600
Proper Divisor Sum 10,993,368
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #5336231 ← → #5336237

Radix Representation

Decimal 5336232
Binary 10100010110110010101000 (23 bits)
Octal 0o24266250
Hexadecimal 0x516CA8

Divisor Catalog (60 of 128)

1 2 3 4 6 8 11 12 17 22 24 29 33 34 41 44 51 58 66 68 82 87 88 102 116 123 132 136 164 174 187 204 232 246 264 319 328 348 374 408 451 492 493 561 638 696 697 748 902 957 984 986 1,122 1,189 1,276 1,353 1,394 1,479 1,496 1,804

Collatz Trajectory (51 steps to reach 1)

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

5,336,232 2,668,116 1,334,058 667,029 2,001,088 1,000,544 500,272 250,136 125,068 62,534 31,267 93,802 46,901 140,704 70,352 35,176 17,588 8,794 4,397 13,192 6,596 3,298 1,649 4,948 2,474 1,237 3,712 1,856 928 464 232 116 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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