6,506,850

2 × 3 × 5² × 7 × 6197

Starting at 6,506,850, the Collatz iteration reaches 1 after 222 steps. The first transition is 3253425; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 5^2 × 7 × 6197

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 18,445,248

Proper Divisor Sum 11,938,398

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #6506813 ← → #6506881

Radix Representation

Decimal	6506850
Binary	11000110100100101100010 (23 bits)
Octal	0o30644542
Hexadecimal	0x634962

Divisor Catalog (48)

1 2 3 5 6 7 10 14 15 21 25 30 35 42 50 70 75 105 150 175 210 350 525 1,050 6,197 12,394 18,591 30,985 37,182 43,379 61,970 86,758 92,955 130,137 154,925 185,910 216,895 260,274 309,850 433,790 464,775 650,685 929,550 1,084,475 1,301,370 2,168,950 3,253,425 6,506,850

Collatz Trajectory (222 steps to reach 1)

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

6,506,850 3,253,425 9,760,276 4,880,138 2,440,069 7,320,208 3,660,104 1,830,052 915,026 457,513 1,372,540 686,270 343,135 1,029,406 514,703 1,544,110 772,055 2,316,166 1,158,083 3,474,250 1,737,125 5,211,376 2,605,688 1,302,844 651,422 325,711 977,134 488,567 1,465,702 732,851 2,198,554 1,099,277 3,297,832 1,648,916 824,458 412,229 1,236,688 618,344 309,172 154,586 77,293 231,880 115,940 57,970 28,985 86,956 43,478 21,739 65,218 32,609 97,828 48,914 24,457 73,372 36,686 18,343 55,030 27,515 82,546 41,273

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