5,338,413

3³ × 163 × 1213

Starting at 5,338,413, the Collatz iteration reaches 1 after 95 steps. The first transition is 16015240; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3^3 × 163 × 1213

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 7,963,840

Proper Divisor Sum 2,625,427

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #5338409 ← → #5338427

Radix Representation

Decimal	5338413
Binary	10100010111010100101101 (23 bits)
Octal	0o24272455
Hexadecimal	0x51752D

Divisor Catalog (16)

1 3 9 27 163 489 1,213 1,467 3,639 4,401 10,917 32,751 197,719 593,157 1,779,471 5,338,413

Collatz Trajectory (95 steps to reach 1)

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

5,338,413 16,015,240 8,007,620 4,003,810 2,001,905 6,005,716 3,002,858 1,501,429 4,504,288 2,252,144 1,126,072 563,036 281,518 140,759 422,278 211,139 633,418 316,709 950,128 475,064 237,532 118,766 59,383 178,150 89,075 267,226 133,613 400,840 200,420 100,210 50,105 150,316 75,158 37,579 112,738 56,369 169,108 84,554 42,277 126,832 63,416 31,708 15,854 7,927 23,782 11,891 35,674 17,837 53,512 26,756 13,378 6,689 20,068 10,034 5,017 15,052 7,526 3,763 11,290 5,645

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