λ
Harmonic Matrix

3,035,940

22 × 3 × 5 × 50599
Abundant Even Composite

3,035,940 has digital root 6. The neighboring primes are 3035939 and 3035947; its proper-divisor sum differs from the starting integer by 2,428,920.

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 50599
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 8,500,800
Proper Divisor Sum 5,464,860
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #3035939 ← → #3035947

Radix Representation

Decimal 3035940
Binary 1011100101001100100100 (22 bits)
Octal 0o13451444
Hexadecimal 0x2E5324

Divisor Catalog (24)

1 2 3 4 5 6 10 12 15 20 30 60 50,599 101,198 151,797 202,396 252,995 303,594 505,990 607,188 758,985 1,011,980 1,517,970 3,035,940

Collatz Trajectory (133 steps to reach 1)

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

3,035,940 1,517,970 758,985 2,276,956 1,138,478 569,239 1,707,718 853,859 2,561,578 1,280,789 3,842,368 1,921,184 960,592 480,296 240,148 120,074 60,037 180,112 90,056 45,028 22,514 11,257 33,772 16,886 8,443 25,330 12,665 37,996 18,998 9,499 28,498 14,249 42,748 21,374 10,687 32,062 16,031 48,094 24,047 72,142 36,071 108,214 54,107 162,322 81,161 243,484 121,742 60,871 182,614 91,307 273,922 136,961 410,884 205,442 102,721 308,164 154,082 77,041 231,124 115,562

More profiles

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