6,501,351

3 × 31 × 53 × 1319

6,501,351 factors as 3 × 31 × 53 × 1319. Its 16 positive divisors give a proper-divisor sum of 2,622,489, so this integer is deficient. The Collatz stopping time is 209 steps.

Prime Factor Structure

Factorization String 3 × 31 × 53 × 1319

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 9,123,840

Proper Divisor Sum 2,622,489

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #6501349 ← → #6501367

Radix Representation

Decimal	6501351
Binary	11000110011001111100111 (23 bits)
Octal	0o30631747
Hexadecimal	0x6333E7

Divisor Catalog (16)

1 3 31 53 93 159 1,319 1,643 3,957 4,929 40,889 69,907 122,667 209,721 2,167,117 6,501,351

Collatz Trajectory (209 steps to reach 1)

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

6,501,351 19,504,054 9,752,027 29,256,082 14,628,041 43,884,124 21,942,062 10,971,031 32,913,094 16,456,547 49,369,642 24,684,821 74,054,464 37,027,232 18,513,616 9,256,808 4,628,404 2,314,202 1,157,101 3,471,304 1,735,652 867,826 433,913 1,301,740 650,870 325,435 976,306 488,153 1,464,460 732,230 366,115 1,098,346 549,173 1,647,520 823,760 411,880 205,940 102,970 51,485 154,456 77,228 38,614 19,307 57,922 28,961 86,884 43,442 21,721 65,164 32,582 16,291 48,874 24,437 73,312 36,656 18,328 9,164 4,582 2,291 6,874

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