3,948,939

3³ × 23 × 6359

3,948,939 factors as 3^3 × 23 × 6359. Its 16 positive divisors give a proper-divisor sum of 2,156,661, so this integer is deficient. The Collatz stopping time is 172 steps.

Prime Factor Structure

Factorization String 3^3 × 23 × 6359

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 6,105,600

Proper Divisor Sum 2,156,661

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #3948911 ← → #3948953

Radix Representation

Decimal	3948939
Binary	1111000100000110001011 (22 bits)
Octal	0o17040613
Hexadecimal	0x3C418B

Divisor Catalog (16)

1 3 9 23 27 69 207 621 6,359 19,077 57,231 146,257 171,693 438,771 1,316,313 3,948,939

Collatz Trajectory (172 steps to reach 1)

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

3,948,939 11,846,818 5,923,409 17,770,228 8,885,114 4,442,557 13,327,672 6,663,836 3,331,918 1,665,959 4,997,878 2,498,939 7,496,818 3,748,409 11,245,228 5,622,614 2,811,307 8,433,922 4,216,961 12,650,884 6,325,442 3,162,721 9,488,164 4,744,082 2,372,041 7,116,124 3,558,062 1,779,031 5,337,094 2,668,547 8,005,642 4,002,821 12,008,464 6,004,232 3,002,116 1,501,058 750,529 2,251,588 1,125,794 562,897 1,688,692 844,346 422,173 1,266,520 633,260 316,630 158,315 474,946 237,473 712,420 356,210 178,105 534,316 267,158 133,579 400,738 200,369 601,108 300,554 150,277

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