13,831,747

37 × 541 × 691

13,831,747 factors as 37 × 541 × 691. Its 8 positive divisors give a proper-divisor sum of 420,685, so this integer is deficient. The Collatz stopping time is 210 steps.

Prime Factor Structure

Factorization String 37 × 541 × 691

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 14,252,432

Proper Divisor Sum 420,685

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #13831739 ← → #13831777

Radix Representation

Decimal	13831747
Binary	110100110000111001000011 (24 bits)
Octal	0o64607103
Hexadecimal	0xD30E43

Divisor Catalog (8)

1 37 541 691 20,017 25,567 373,831 13,831,747

Collatz Trajectory (210 steps to reach 1)

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

13,831,747 41,495,242 20,747,621 62,242,864 31,121,432 15,560,716 7,780,358 3,890,179 11,670,538 5,835,269 17,505,808 8,752,904 4,376,452 2,188,226 1,094,113 3,282,340 1,641,170 820,585 2,461,756 1,230,878 615,439 1,846,318 923,159 2,769,478 1,384,739 4,154,218 2,077,109 6,231,328 3,115,664 1,557,832 778,916 389,458 194,729 584,188 292,094 146,047 438,142 219,071 657,214 328,607 985,822 492,911 1,478,734 739,367 2,218,102 1,109,051 3,327,154 1,663,577 4,990,732 2,495,366 1,247,683 3,743,050 1,871,525 5,614,576 2,807,288 1,403,644 701,822 350,911 1,052,734 526,367

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