λ
Harmonic Matrix

4,180,446

2 × 32 × 271 × 857
Abundant Even Composite

4,180,446 has digital root 9. The neighboring primes are 4180441 and 4180447; its proper-divisor sum differs from the starting integer by 740,772.

Prime Factor Structure

Factorization String 2 × 3^2 × 271 × 857
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 9,101,664
Proper Divisor Sum 4,921,218
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #4180441 ← → #4180447

Radix Representation

Decimal 4180446
Binary 1111111100100111011110 (22 bits)
Octal 0o17744736
Hexadecimal 0x3FC9DE

Divisor Catalog (24)

1 2 3 6 9 18 271 542 813 857 1,626 1,714 2,439 2,571 4,878 5,142 7,713 15,426 232,247 464,494 696,741 1,393,482 2,090,223 4,180,446

Collatz Trajectory (198 steps to reach 1)

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

4,180,446 2,090,223 6,270,670 3,135,335 9,406,006 4,703,003 14,109,010 7,054,505 21,163,516 10,581,758 5,290,879 15,872,638 7,936,319 23,808,958 11,904,479 35,713,438 17,856,719 53,570,158 26,785,079 80,355,238 40,177,619 120,532,858 60,266,429 180,799,288 90,399,644 45,199,822 22,599,911 67,799,734 33,899,867 101,699,602 50,849,801 152,549,404 76,274,702 38,137,351 114,412,054 57,206,027 171,618,082 85,809,041 257,427,124 128,713,562 64,356,781 193,070,344 96,535,172 48,267,586 24,133,793 72,401,380 36,200,690 18,100,345 54,301,036 27,150,518 13,575,259 40,725,778 20,362,889 61,088,668 30,544,334 15,272,167 45,816,502 22,908,251 68,724,754 34,362,377

More profiles

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