6,513,237

3³ × 149 × 1619

Starting at 6,513,237, the Collatz iteration reaches 1 after 64 steps. The first transition is 19539712; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3^3 × 149 × 1619

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 9,720,000

Proper Divisor Sum 3,206,763

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #6513229 ← → #6513239

Radix Representation

Decimal	6513237
Binary	11000110110001001010101 (23 bits)
Octal	0o30661125
Hexadecimal	0x636255

Divisor Catalog (16)

1 3 9 27 149 447 1,341 1,619 4,023 4,857 14,571 43,713 241,231 723,693 2,171,079 6,513,237

Collatz Trajectory (64 steps to reach 1)

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

6,513,237 19,539,712 9,769,856 4,884,928 2,442,464 1,221,232 610,616 305,308 152,654 76,327 228,982 114,491 343,474 171,737 515,212 257,606 128,803 386,410 193,205 579,616 289,808 144,904 72,452 36,226 18,113 54,340 27,170 13,585 40,756 20,378 10,189 30,568 15,284 7,642 3,821 11,464 5,732 2,866 1,433 4,300 2,150 1,075 3,226 1,613 4,840 2,420 1,210 605 1,816 908 454 227 682 341 1,024 512 256 128 64 32

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