17,165,308

2² × 17 × 252431

17,165,308 factors as 2^2 × 17 × 252431. Its 12 positive divisors give a proper-divisor sum of 14,641,124, so this integer is deficient. The Collatz stopping time is 151 steps.

Prime Factor Structure

Factorization String 2^2 × 17 × 252431

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 31,806,432

Proper Divisor Sum 14,641,124

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #17165297 ← → #17165371

Radix Representation

Decimal	17165308
Binary	1000001011110101111111100 (25 bits)
Octal	0o101365774
Hexadecimal	0x105EBFC

Divisor Catalog (12)

1 2 4 17 34 68 252,431 504,862 1,009,724 4,291,327 8,582,654 17,165,308

Collatz Trajectory (151 steps to reach 1)

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

17,165,308 8,582,654 4,291,327 12,873,982 6,436,991 19,310,974 9,655,487 28,966,462 14,483,231 43,449,694 21,724,847 65,174,542 32,587,271 97,761,814 48,880,907 146,642,722 73,321,361 219,964,084 109,982,042 54,991,021 164,973,064 82,486,532 41,243,266 20,621,633 61,864,900 30,932,450 15,466,225 46,398,676 23,199,338 11,599,669 34,799,008 17,399,504 8,699,752 4,349,876 2,174,938 1,087,469 3,262,408 1,631,204 815,602 407,801 1,223,404 611,702 305,851 917,554 458,777 1,376,332 688,166 344,083 1,032,250 516,125 1,548,376 774,188 387,094 193,547 580,642 290,321 870,964 435,482 217,741 653,224

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