6,748,721

7² × 43 × 3203

Starting at 6,748,721, the Collatz iteration reaches 1 after 134 steps. The first transition is 20246164; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 7^2 × 43 × 3203

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 8,035,632

Proper Divisor Sum 1,286,911

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #6748691 ← → #6748771

Radix Representation

Decimal	6748721
Binary	11001101111101000110001 (23 bits)
Octal	0o31575061
Hexadecimal	0x66FA31

Divisor Catalog (12)

1 7 43 49 301 2,107 3,203 22,421 137,729 156,947 964,103 6,748,721

Collatz Trajectory (134 steps to reach 1)

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

6,748,721 20,246,164 10,123,082 5,061,541 15,184,624 7,592,312 3,796,156 1,898,078 949,039 2,847,118 1,423,559 4,270,678 2,135,339 6,406,018 3,203,009 9,609,028 4,804,514 2,402,257 7,206,772 3,603,386 1,801,693 5,405,080 2,702,540 1,351,270 675,635 2,026,906 1,013,453 3,040,360 1,520,180 760,090 380,045 1,140,136 570,068 285,034 142,517 427,552 213,776 106,888 53,444 26,722 13,361 40,084 20,042 10,021 30,064 15,032 7,516 3,758 1,879 5,638 2,819 8,458 4,229 12,688 6,344 3,172 1,586 793 2,380 1,190

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