λ
Ratio Atlas
Atlas › Integer Profiles › Node 6,231,222

6,231,222

2 × 33 × 257 × 449
Abundant Even Composite

6,231,222 factors as 2 × 3^3 × 257 × 449. Its 32 positive divisors give a proper-divisor sum of 7,700,778, so this integer is abundant. The Collatz stopping time is 134 steps.

Prime Factor Structure

Factorization String 2 × 3^3 × 257 × 449
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 13,932,000
Proper Divisor Sum 7,700,778
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #6231209 ← → #6231223

Radix Representation

Decimal 6231222
Binary 10111110001010010110110 (23 bits)
Octal 0o27612266
Hexadecimal 0x5F14B6

Divisor Catalog (32)

1 2 3 6 9 18 27 54 257 449 514 771 898 1,347 1,542 2,313 2,694 4,041 4,626 6,939 8,082 12,123 13,878 24,246 115,393 230,786 346,179 692,358 1,038,537 2,077,074 3,115,611 6,231,222

Collatz Trajectory (134 steps to reach 1)

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

6,231,222 3,115,611 9,346,834 4,673,417 14,020,252 7,010,126 3,505,063 10,515,190 5,257,595 15,772,786 7,886,393 23,659,180 11,829,590 5,914,795 17,744,386 8,872,193 26,616,580 13,308,290 6,654,145 19,962,436 9,981,218 4,990,609 14,971,828 7,485,914 3,742,957 11,228,872 5,614,436 2,807,218 1,403,609 4,210,828 2,105,414 1,052,707 3,158,122 1,579,061 4,737,184 2,368,592 1,184,296 592,148 296,074 148,037 444,112 222,056 111,028 55,514 27,757 83,272 41,636 20,818 10,409 31,228 15,614 7,807 23,422 11,711 35,134 17,567 52,702 26,351 79,054 39,527

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #6,231,221 Browse Full Index Next Integer #6,231,223 →