λ
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Atlas › Integer Profiles › Node 6,431,992

6,431,992

23 × 7 × 331 × 347
Abundant Even Composite

6,431,992 factors as 2^3 × 7 × 331 × 347. Its 32 positive divisors give a proper-divisor sum of 7,432,328, so this integer is abundant. The Collatz stopping time is 147 steps.

Prime Factor Structure

Factorization String 2^3 × 7 × 331 × 347
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 13,864,320
Proper Divisor Sum 7,432,328
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #6431987 ← → #6431993

Radix Representation

Decimal 6431992
Binary 11000100010010011111000 (23 bits)
Octal 0o30422370
Hexadecimal 0x6224F8

Divisor Catalog (32)

1 2 4 7 8 14 28 56 331 347 662 694 1,324 1,388 2,317 2,429 2,648 2,776 4,634 4,858 9,268 9,716 18,536 19,432 114,857 229,714 459,428 803,999 918,856 1,607,998 3,215,996 6,431,992

Collatz Trajectory (147 steps to reach 1)

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

6,431,992 3,215,996 1,607,998 803,999 2,411,998 1,205,999 3,617,998 1,808,999 5,426,998 2,713,499 8,140,498 4,070,249 12,210,748 6,105,374 3,052,687 9,158,062 4,579,031 13,737,094 6,868,547 20,605,642 10,302,821 30,908,464 15,454,232 7,727,116 3,863,558 1,931,779 5,795,338 2,897,669 8,693,008 4,346,504 2,173,252 1,086,626 543,313 1,629,940 814,970 407,485 1,222,456 611,228 305,614 152,807 458,422 229,211 687,634 343,817 1,031,452 515,726 257,863 773,590 386,795 1,160,386 580,193 1,740,580 870,290 435,145 1,305,436 652,718 326,359 979,078 489,539 1,468,618

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