6,476,700

2² × 3 × 5² × 21589

Starting at 6,476,700, the Collatz iteration reaches 1 after 178 steps. The first transition is 3238350; the starting value is even with 36 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 5^2 × 21589

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 18,740,120

Proper Divisor Sum 12,263,420

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #6476699 ← → #6476749

Radix Representation

Decimal	6476700
Binary	11000101101001110011100 (23 bits)
Octal	0o30551634
Hexadecimal	0x62D39C

Divisor Catalog (36)

1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 21,589 43,178 64,767 86,356 107,945 129,534 215,890 259,068 323,835 431,780 539,725 647,670 1,079,450 1,295,340 1,619,175 2,158,900 3,238,350 6,476,700

Collatz Trajectory (178 steps to reach 1)

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

6,476,700 3,238,350 1,619,175 4,857,526 2,428,763 7,286,290 3,643,145 10,929,436 5,464,718 2,732,359 8,197,078 4,098,539 12,295,618 6,147,809 18,443,428 9,221,714 4,610,857 13,832,572 6,916,286 3,458,143 10,374,430 5,187,215 15,561,646 7,780,823 23,342,470 11,671,235 35,013,706 17,506,853 52,520,560 26,260,280 13,130,140 6,565,070 3,282,535 9,847,606 4,923,803 14,771,410 7,385,705 22,157,116 11,078,558 5,539,279 16,617,838 8,308,919 24,926,758 12,463,379 37,390,138 18,695,069 56,085,208 28,042,604 14,021,302 7,010,651 21,031,954 10,515,977 31,547,932 15,773,966 7,886,983 23,660,950 11,830,475 35,491,426 17,745,713 53,237,140

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