6,412,528

2⁴ × 241 × 1663

Starting at 6,412,528, the Collatz iteration reaches 1 after 77 steps. The first transition is 3206264; the starting value is even with 20 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 241 × 1663

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 12,483,328

Proper Divisor Sum 6,070,800

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #6412499 ← → #6412531

Radix Representation

Decimal	6412528
Binary	11000011101100011110000 (23 bits)
Octal	0o30354360
Hexadecimal	0x61D8F0

Divisor Catalog (20)

1 2 4 8 16 241 482 964 1,663 1,928 3,326 3,856 6,652 13,304 26,608 400,783 801,566 1,603,132 3,206,264 6,412,528

Collatz Trajectory (77 steps to reach 1)

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

6,412,528 3,206,264 1,603,132 801,566 400,783 1,202,350 601,175 1,803,526 901,763 2,705,290 1,352,645 4,057,936 2,028,968 1,014,484 507,242 253,621 760,864 380,432 190,216 95,108 47,554 23,777 71,332 35,666 17,833 53,500 26,750 13,375 40,126 20,063 60,190 30,095 90,286 45,143 135,430 67,715 203,146 101,573 304,720 152,360 76,180 38,090 19,045 57,136 28,568 14,284 7,142 3,571 10,714 5,357 16,072 8,036 4,018 2,009 6,028 3,014 1,507 4,522 2,261 6,784

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