λ
Harmonic Matrix

8,124,162

2 × 3 × 43 × 31489
Abundant Even Composite

8,124,162 has digital root 6. The neighboring primes are 8124161 and 8124167; its proper-divisor sum differs from the starting integer by 378,396.

Prime Factor Structure

Factorization String 2 × 3 × 43 × 31489
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 16,626,720
Proper Divisor Sum 8,502,558
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #8124161 ← → #8124167

Radix Representation

Decimal 8124162
Binary 11110111111011100000010 (23 bits)
Octal 0o36773402
Hexadecimal 0x7BF702

Divisor Catalog (16)

1 2 3 6 43 86 129 258 31,489 62,978 94,467 188,934 1,354,027 2,708,054 4,062,081 8,124,162

Collatz Trajectory (85 steps to reach 1)

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

8,124,162 4,062,081 12,186,244 6,093,122 3,046,561 9,139,684 4,569,842 2,284,921 6,854,764 3,427,382 1,713,691 5,141,074 2,570,537 7,711,612 3,855,806 1,927,903 5,783,710 2,891,855 8,675,566 4,337,783 13,013,350 6,506,675 19,520,026 9,760,013 29,280,040 14,640,020 7,320,010 3,660,005 10,980,016 5,490,008 2,745,004 1,372,502 686,251 2,058,754 1,029,377 3,088,132 1,544,066 772,033 2,316,100 1,158,050 579,025 1,737,076 868,538 434,269 1,302,808 651,404 325,702 162,851 488,554 244,277 732,832 366,416 183,208 91,604 45,802 22,901 68,704 34,352 17,176 8,588

More profiles

← Previous Integer #8,124,161 Browse Full Index Next Integer #8,124,163 →