6,567,321

3 × 17 × 61 × 2111

6,567,321 factors as 3 × 17 × 61 × 2111. Its 16 positive divisors give a proper-divisor sum of 2,860,647, so this integer is deficient. The Collatz stopping time is 209 steps.

Prime Factor Structure

Factorization String 3 × 17 × 61 × 2111

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 9,427,968

Proper Divisor Sum 2,860,647

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #6567307 ← → #6567343

Radix Representation

Decimal	6567321
Binary	11001000011010110011001 (23 bits)
Octal	0o31032631
Hexadecimal	0x643599

Divisor Catalog (16)

1 3 17 51 61 183 1,037 2,111 3,111 6,333 35,887 107,661 128,771 386,313 2,189,107 6,567,321

Collatz Trajectory (209 steps to reach 1)

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

6,567,321 19,701,964 9,850,982 4,925,491 14,776,474 7,388,237 22,164,712 11,082,356 5,541,178 2,770,589 8,311,768 4,155,884 2,077,942 1,038,971 3,116,914 1,558,457 4,675,372 2,337,686 1,168,843 3,506,530 1,753,265 5,259,796 2,629,898 1,314,949 3,944,848 1,972,424 986,212 493,106 246,553 739,660 369,830 184,915 554,746 277,373 832,120 416,060 208,030 104,015 312,046 156,023 468,070 234,035 702,106 351,053 1,053,160 526,580 263,290 131,645 394,936 197,468 98,734 49,367 148,102 74,051 222,154 111,077 333,232 166,616 83,308 41,654

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