6,661,696

2⁶ × 104089

Starting at 6,661,696, the Collatz iteration reaches 1 after 178 steps. The first transition is 3330848; the starting value is even with 14 positive divisors.

Prime Factor Structure

Factorization String 2^6 × 104089

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 14

Divisor Sum (σ) 13,219,430

Proper Divisor Sum 6,557,734

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #6661693 ← → #6661709

Radix Representation

Decimal	6661696
Binary	11001011010011001000000 (23 bits)
Octal	0o31323100
Hexadecimal	0x65A640

Divisor Catalog (14)

1 2 4 8 16 32 64 104,089 208,178 416,356 832,712 1,665,424 3,330,848 6,661,696

Collatz Trajectory (178 steps to reach 1)

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

6,661,696 3,330,848 1,665,424 832,712 416,356 208,178 104,089 312,268 156,134 78,067 234,202 117,101 351,304 175,652 87,826 43,913 131,740 65,870 32,935 98,806 49,403 148,210 74,105 222,316 111,158 55,579 166,738 83,369 250,108 125,054 62,527 187,582 93,791 281,374 140,687 422,062 211,031 633,094 316,547 949,642 474,821 1,424,464 712,232 356,116 178,058 89,029 267,088 133,544 66,772 33,386 16,693 50,080 25,040 12,520 6,260 3,130 1,565 4,696 2,348 1,174

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