λ
Harmonic Matrix

2,512,062

2 × 32 × 7 × 19937
Abundant Even Composite

2,512,062 has digital root 9. The neighboring primes are 2512033 and 2512063; its proper-divisor sum differs from the starting integer by 1,196,532.

Prime Factor Structure

Factorization String 2 × 3^2 × 7 × 19937
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 6,220,656
Proper Divisor Sum 3,708,594
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #2512033 ← → #2512063

Radix Representation

Decimal 2512062
Binary 1001100101010010111110 (22 bits)
Octal 0o11452276
Hexadecimal 0x2654BE

Divisor Catalog (24)

1 2 3 6 7 9 14 18 21 42 63 126 19,937 39,874 59,811 119,622 139,559 179,433 279,118 358,866 418,677 837,354 1,256,031 2,512,062

Collatz Trajectory (161 steps to reach 1)

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

2,512,062 1,256,031 3,768,094 1,884,047 5,652,142 2,826,071 8,478,214 4,239,107 12,717,322 6,358,661 19,075,984 9,537,992 4,768,996 2,384,498 1,192,249 3,576,748 1,788,374 894,187 2,682,562 1,341,281 4,023,844 2,011,922 1,005,961 3,017,884 1,508,942 754,471 2,263,414 1,131,707 3,395,122 1,697,561 5,092,684 2,546,342 1,273,171 3,819,514 1,909,757 5,729,272 2,864,636 1,432,318 716,159 2,148,478 1,074,239 3,222,718 1,611,359 4,834,078 2,417,039 7,251,118 3,625,559 10,876,678 5,438,339 16,315,018 8,157,509 24,472,528 12,236,264 6,118,132 3,059,066 1,529,533 4,588,600 2,294,300 1,147,150 573,575

More profiles

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