6,830,629

13 × 525433

Starting at 6,830,629, the Collatz iteration reaches 1 after 253 steps. The first transition is 20491888; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 13 × 525433

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 7,356,076

Proper Divisor Sum 525,447

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #6830627 ← → #6830647

Radix Representation

Decimal	6830629
Binary	11010000011101000100101 (23 bits)
Octal	0o32035045
Hexadecimal	0x683A25

Divisor Catalog (4)

1 13 525,433 6,830,629

Collatz Trajectory (253 steps to reach 1)

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

6,830,629 20,491,888 10,245,944 5,122,972 2,561,486 1,280,743 3,842,230 1,921,115 5,763,346 2,881,673 8,645,020 4,322,510 2,161,255 6,483,766 3,241,883 9,725,650 4,862,825 14,588,476 7,294,238 3,647,119 10,941,358 5,470,679 16,412,038 8,206,019 24,618,058 12,309,029 36,927,088 18,463,544 9,231,772 4,615,886 2,307,943 6,923,830 3,461,915 10,385,746 5,192,873 15,578,620 7,789,310 3,894,655 11,683,966 5,841,983 17,525,950 8,762,975 26,288,926 13,144,463 39,433,390 19,716,695 59,150,086 29,575,043 88,725,130 44,362,565 133,087,696 66,543,848 33,271,924 16,635,962 8,317,981 24,953,944 12,476,972 6,238,486 3,119,243 9,357,730

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