λ
Harmonic Matrix

2,947,876

22 × 59 × 12491
Deficient Even Composite

2,947,876 has digital root 7. The neighboring primes are 2947853 and 2947877; its proper-divisor sum differs from the starting integer by -649,112.

Prime Factor Structure

Factorization String 2^2 × 59 × 12491
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 5,246,640
Proper Divisor Sum 2,298,764
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #2947853 ← → #2947877

Radix Representation

Decimal 2947876
Binary 1011001111101100100100 (22 bits)
Octal 0o13175444
Hexadecimal 0x2CFB24

Divisor Catalog (12)

1 2 4 59 118 236 12,491 24,982 49,964 736,969 1,473,938 2,947,876

Collatz Trajectory (120 steps to reach 1)

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

2,947,876 1,473,938 736,969 2,210,908 1,105,454 552,727 1,658,182 829,091 2,487,274 1,243,637 3,730,912 1,865,456 932,728 466,364 233,182 116,591 349,774 174,887 524,662 262,331 786,994 393,497 1,180,492 590,246 295,123 885,370 442,685 1,328,056 664,028 332,014 166,007 498,022 249,011 747,034 373,517 1,120,552 560,276 280,138 140,069 420,208 210,104 105,052 52,526 26,263 78,790 39,395 118,186 59,093 177,280 88,640 44,320 22,160 11,080 5,540 2,770 1,385 4,156 2,078 1,039 3,118

More profiles

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