λ
Harmonic Matrix

3,512,874

2 × 3 × 47 × 12457
Abundant Even Composite

3,512,874 has digital root 3. The neighboring primes are 3512869 and 3512909; its proper-divisor sum differs from the starting integer by 150,060.

Prime Factor Structure

Factorization String 2 × 3 × 47 × 12457
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 7,175,808
Proper Divisor Sum 3,662,934
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #3512869 ← → #3512909

Radix Representation

Decimal 3512874
Binary 1101011001101000101010 (22 bits)
Octal 0o15315052
Hexadecimal 0x359A2A

Divisor Catalog (16)

1 2 3 6 47 94 141 282 12,457 24,914 37,371 74,742 585,479 1,170,958 1,756,437 3,512,874

Collatz Trajectory (97 steps to reach 1)

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

3,512,874 1,756,437 5,269,312 2,634,656 1,317,328 658,664 329,332 164,666 82,333 247,000 123,500 61,750 30,875 92,626 46,313 138,940 69,470 34,735 104,206 52,103 156,310 78,155 234,466 117,233 351,700 175,850 87,925 263,776 131,888 65,944 32,972 16,486 8,243 24,730 12,365 37,096 18,548 9,274 4,637 13,912 6,956 3,478 1,739 5,218 2,609 7,828 3,914 1,957 5,872 2,936 1,468 734 367 1,102 551 1,654 827 2,482 1,241 3,724

More profiles

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