λ
Harmonic Matrix

4,989,743

11 × 479 × 947
Deficient Odd Composite

4,989,743 has digital root 8. The neighboring primes are 4989713 and 4989757; its proper-divisor sum differs from the starting integer by -4,519,006.

Prime Factor Structure

Factorization String 11 × 479 × 947
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 5,460,480
Proper Divisor Sum 470,737
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #4989713 ← → #4989757

Radix Representation

Decimal 4989743
Binary 10011000010001100101111 (23 bits)
Octal 0o23021457
Hexadecimal 0x4C232F

Divisor Catalog (8)

1 11 479 947 5,269 10,417 453,613 4,989,743

Collatz Trajectory (299 steps to reach 1)

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

4,989,743 14,969,230 7,484,615 22,453,846 11,226,923 33,680,770 16,840,385 50,521,156 25,260,578 12,630,289 37,890,868 18,945,434 9,472,717 28,418,152 14,209,076 7,104,538 3,552,269 10,656,808 5,328,404 2,664,202 1,332,101 3,996,304 1,998,152 999,076 499,538 249,769 749,308 374,654 187,327 561,982 280,991 842,974 421,487 1,264,462 632,231 1,896,694 948,347 2,845,042 1,422,521 4,267,564 2,133,782 1,066,891 3,200,674 1,600,337 4,801,012 2,400,506 1,200,253 3,600,760 1,800,380 900,190 450,095 1,350,286 675,143 2,025,430 1,012,715 3,038,146 1,519,073 4,557,220 2,278,610 1,139,305

More profiles

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