6,916,617

3³ × 113 × 2267

6,916,617 factors as 3^3 × 113 × 2267. Its 16 positive divisors give a proper-divisor sum of 3,425,463, so this integer is deficient. The Collatz stopping time is 222 steps.

Prime Factor Structure

Factorization String 3^3 × 113 × 2267

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 10,342,080

Proper Divisor Sum 3,425,463

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #6916601 ← → #6916619

Radix Representation

Decimal	6916617
Binary	11010011000101000001001 (23 bits)
Octal	0o32305011
Hexadecimal	0x698A09

Divisor Catalog (16)

1 3 9 27 113 339 1,017 2,267 3,051 6,801 20,403 61,209 256,171 768,513 2,305,539 6,916,617

Collatz Trajectory (222 steps to reach 1)

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

6,916,617 20,749,852 10,374,926 5,187,463 15,562,390 7,781,195 23,343,586 11,671,793 35,015,380 17,507,690 8,753,845 26,261,536 13,130,768 6,565,384 3,282,692 1,641,346 820,673 2,462,020 1,231,010 615,505 1,846,516 923,258 461,629 1,384,888 692,444 346,222 173,111 519,334 259,667 779,002 389,501 1,168,504 584,252 292,126 146,063 438,190 219,095 657,286 328,643 985,930 492,965 1,478,896 739,448 369,724 184,862 92,431 277,294 138,647 415,942 207,971 623,914 311,957 935,872 467,936 233,968 116,984 58,492 29,246 14,623 43,870

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