λ
Harmonic Matrix

1,558,296

23 × 32 × 23 × 941
Abundant Even Composite

1,558,296 has digital root 9. The neighboring primes are 1558289 and 1558303; its proper-divisor sum differs from the starting integer by 1,291,968.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 23 × 941
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 4,408,560
Proper Divisor Sum 2,850,264
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #1558289 ← → #1558303

Radix Representation

Decimal 1558296
Binary 101111100011100011000 (21 bits)
Octal 0o5743430
Hexadecimal 0x17C718

Divisor Catalog (48)

1 2 3 4 6 8 9 12 18 23 24 36 46 69 72 92 138 184 207 276 414 552 828 941 1,656 1,882 2,823 3,764 5,646 7,528 8,469 11,292 16,938 21,643 22,584 33,876 43,286 64,929 67,752 86,572 129,858 173,144 194,787 259,716 389,574 519,432 779,148 1,558,296

Collatz Trajectory (119 steps to reach 1)

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

1,558,296 779,148 389,574 194,787 584,362 292,181 876,544 438,272 219,136 109,568 54,784 27,392 13,696 6,848 3,424 1,712 856 428 214 107 322 161 484 242 121 364 182 91 274 137 412 206 103 310 155 466 233 700 350 175 526 263 790 395 1,186 593 1,780 890 445 1,336 668 334 167 502 251 754 377 1,132 566 283

More profiles

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