λ
Harmonic Matrix

3,590,536

23 × 172 × 1553
Deficient Even Composite

3,590,536 has digital root 4. The neighboring primes are 3590501 and 3590537; its proper-divisor sum differs from the starting integer by -24,902.

Prime Factor Structure

Factorization String 2^3 × 17^2 × 1553
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 7,156,170
Proper Divisor Sum 3,565,634
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #3590501 ← → #3590537

Radix Representation

Decimal 3590536
Binary 1101101100100110001000 (22 bits)
Octal 0o15544610
Hexadecimal 0x36C988

Divisor Catalog (24)

1 2 4 8 17 34 68 136 289 578 1,156 1,553 2,312 3,106 6,212 12,424 26,401 52,802 105,604 211,208 448,817 897,634 1,795,268 3,590,536

Collatz Trajectory (115 steps to reach 1)

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

3,590,536 1,795,268 897,634 448,817 1,346,452 673,226 336,613 1,009,840 504,920 252,460 126,230 63,115 189,346 94,673 284,020 142,010 71,005 213,016 106,508 53,254 26,627 79,882 39,941 119,824 59,912 29,956 14,978 7,489 22,468 11,234 5,617 16,852 8,426 4,213 12,640 6,320 3,160 1,580 790 395 1,186 593 1,780 890 445 1,336 668 334 167 502 251 754 377 1,132 566 283 850 425 1,276 638

More profiles

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