λ
Harmonic Matrix

5,948,982

2 × 32 × 13 × 25423
Abundant Even Composite

5,948,982 has digital root 9. The neighboring primes are 5948959 and 5948983; its proper-divisor sum differs from the starting integer by 1,983,540.

Prime Factor Structure

Factorization String 2 × 3^2 × 13 × 25423
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 13,881,504
Proper Divisor Sum 7,932,522
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #5948959 ← → #5948983

Radix Representation

Decimal 5948982
Binary 10110101100011000110110 (23 bits)
Octal 0o26543066
Hexadecimal 0x5AC636

Divisor Catalog (24)

1 2 3 6 9 13 18 26 39 78 117 234 25,423 50,846 76,269 152,538 228,807 330,499 457,614 660,998 991,497 1,982,994 2,974,491 5,948,982

Collatz Trajectory (95 steps to reach 1)

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

5,948,982 2,974,491 8,923,474 4,461,737 13,385,212 6,692,606 3,346,303 10,038,910 5,019,455 15,058,366 7,529,183 22,587,550 11,293,775 33,881,326 16,940,663 50,821,990 25,410,995 76,232,986 38,116,493 114,349,480 57,174,740 28,587,370 14,293,685 42,881,056 21,440,528 10,720,264 5,360,132 2,680,066 1,340,033 4,020,100 2,010,050 1,005,025 3,015,076 1,507,538 753,769 2,261,308 1,130,654 565,327 1,695,982 847,991 2,543,974 1,271,987 3,815,962 1,907,981 5,723,944 2,861,972 1,430,986 715,493 2,146,480 1,073,240 536,620 268,310 134,155 402,466 201,233 603,700 301,850 150,925 452,776 226,388

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