6,513,530

2 × 5 × 313 × 2081

Starting at 6,513,530, the Collatz iteration reaches 1 after 116 steps. The first transition is 3256765; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 5 × 313 × 2081

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 11,767,464

Proper Divisor Sum 5,253,934

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #6513497 ← → #6513553

Radix Representation

Decimal	6513530
Binary	11000110110001101111010 (23 bits)
Octal	0o30661572
Hexadecimal	0x63637A

Divisor Catalog (16)

1 2 5 10 313 626 1,565 2,081 3,130 4,162 10,405 20,810 651,353 1,302,706 3,256,765 6,513,530

Collatz Trajectory (116 steps to reach 1)

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

6,513,530 3,256,765 9,770,296 4,885,148 2,442,574 1,221,287 3,663,862 1,831,931 5,495,794 2,747,897 8,243,692 4,121,846 2,060,923 6,182,770 3,091,385 9,274,156 4,637,078 2,318,539 6,955,618 3,477,809 10,433,428 5,216,714 2,608,357 7,825,072 3,912,536 1,956,268 978,134 489,067 1,467,202 733,601 2,200,804 1,100,402 550,201 1,650,604 825,302 412,651 1,237,954 618,977 1,856,932 928,466 464,233 1,392,700 696,350 348,175 1,044,526 522,263 1,566,790 783,395 2,350,186 1,175,093 3,525,280 1,762,640 881,320 440,660 220,330 110,165 330,496 165,248 82,624 41,312

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