λ
Harmonic Matrix

4,932,274

2 × 47 × 137 × 383
Deficient Even Composite

4,932,274 has digital root 4. The neighboring primes are 4932271 and 4932287; its proper-divisor sum differs from the starting integer by -2,233,700.

Prime Factor Structure

Factorization String 2 × 47 × 137 × 383
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 7,630,848
Proper Divisor Sum 2,698,574
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #4932271 ← → #4932287

Radix Representation

Decimal 4932274
Binary 10010110100001010110010 (23 bits)
Octal 0o22641262
Hexadecimal 0x4B42B2

Divisor Catalog (16)

1 2 47 94 137 274 383 766 6,439 12,878 18,001 36,002 52,471 104,942 2,466,137 4,932,274

Collatz Trajectory (312 steps to reach 1)

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

4,932,274 2,466,137 7,398,412 3,699,206 1,849,603 5,548,810 2,774,405 8,323,216 4,161,608 2,080,804 1,040,402 520,201 1,560,604 780,302 390,151 1,170,454 585,227 1,755,682 877,841 2,633,524 1,316,762 658,381 1,975,144 987,572 493,786 246,893 740,680 370,340 185,170 92,585 277,756 138,878 69,439 208,318 104,159 312,478 156,239 468,718 234,359 703,078 351,539 1,054,618 527,309 1,581,928 790,964 395,482 197,741 593,224 296,612 148,306 74,153 222,460 111,230 55,615 166,846 83,423 250,270 125,135 375,406 187,703

More profiles

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