λ
Harmonic Matrix

2,450,130

2 × 3 × 5 × 81671
Abundant Even Composite

2,450,130 has digital root 6. The neighboring primes are 2450117 and 2450131; its proper-divisor sum differs from the starting integer by 980,124.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 81671
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 5,880,384
Proper Divisor Sum 3,430,254
Digit Sum / Digital Root 15 (Root: 6)
Adjacent Primes #2450117 ← → #2450131

Radix Representation

Decimal 2450130
Binary 1001010110001011010010 (22 bits)
Octal 0o11261322
Hexadecimal 0x2562D2

Divisor Catalog (16)

1 2 3 5 6 10 15 30 81,671 163,342 245,013 408,355 490,026 816,710 1,225,065 2,450,130

Collatz Trajectory (86 steps to reach 1)

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

2,450,130 1,225,065 3,675,196 1,837,598 918,799 2,756,398 1,378,199 4,134,598 2,067,299 6,201,898 3,100,949 9,302,848 4,651,424 2,325,712 1,162,856 581,428 290,714 145,357 436,072 218,036 109,018 54,509 163,528 81,764 40,882 20,441 61,324 30,662 15,331 45,994 22,997 68,992 34,496 17,248 8,624 4,312 2,156 1,078 539 1,618 809 2,428 1,214 607 1,822 911 2,734 1,367 4,102 2,051 6,154 3,077 9,232 4,616 2,308 1,154 577 1,732 866 433

More profiles

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