λ
Zalai Atlas

6,380,338

2 × 17 × 23 × 41 × 199
Deficient Even Composite

6,380,338 has the prime decomposition 2 × 17 × 23 × 41 × 199. Its 5 distinct prime factors produce 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 17 × 23 × 41 × 199
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 10,886,400
Proper Divisor Sum 4,506,062
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #6380281 ← → #6380347

Radix Representation

Decimal 6380338
Binary 11000010101101100110010 (23 bits)
Octal 0o30255462
Hexadecimal 0x615B32

Divisor Catalog (32)

1 2 17 23 34 41 46 82 199 391 398 697 782 943 1,394 1,886 3,383 4,577 6,766 8,159 9,154 16,031 16,318 32,062 77,809 138,703 155,618 187,657 277,406 375,314 3,190,169 6,380,338

Collatz Trajectory (134 steps to reach 1)

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

6,380,338 3,190,169 9,570,508 4,785,254 2,392,627 7,177,882 3,588,941 10,766,824 5,383,412 2,691,706 1,345,853 4,037,560 2,018,780 1,009,390 504,695 1,514,086 757,043 2,271,130 1,135,565 3,406,696 1,703,348 851,674 425,837 1,277,512 638,756 319,378 159,689 479,068 239,534 119,767 359,302 179,651 538,954 269,477 808,432 404,216 202,108 101,054 50,527 151,582 75,791 227,374 113,687 341,062 170,531 511,594 255,797 767,392 383,696 191,848 95,924 47,962 23,981 71,944 35,972 17,986 8,993 26,980 13,490 6,745

More profiles

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