5,346,146

2 × 13² × 15817

5,346,146 factors as 2 × 13^2 × 15817. Its 12 positive divisors give a proper-divisor sum of 3,337,936, so this integer is deficient. The Collatz stopping time is 188 steps.

Prime Factor Structure

Factorization String 2 × 13^2 × 15817

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 8,684,082

Proper Divisor Sum 3,337,936

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #5346139 ← → #5346149

Radix Representation

Decimal	5346146
Binary	10100011001001101100010 (23 bits)
Octal	0o24311542
Hexadecimal	0x519362

Divisor Catalog (12)

1 2 13 26 169 338 15,817 31,634 205,621 411,242 2,673,073 5,346,146

Collatz Trajectory (188 steps to reach 1)

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

5,346,146 2,673,073 8,019,220 4,009,610 2,004,805 6,014,416 3,007,208 1,503,604 751,802 375,901 1,127,704 563,852 281,926 140,963 422,890 211,445 634,336 317,168 158,584 79,292 39,646 19,823 59,470 29,735 89,206 44,603 133,810 66,905 200,716 100,358 50,179 150,538 75,269 225,808 112,904 56,452 28,226 14,113 42,340 21,170 10,585 31,756 15,878 7,939 23,818 11,909 35,728 17,864 8,932 4,466 2,233 6,700 3,350 1,675 5,026 2,513 7,540 3,770 1,885 5,656

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