6,420,064

2⁵ × 7 × 28661

Starting at 6,420,064, the Collatz iteration reaches 1 after 134 steps. The first transition is 3210032; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 7 × 28661

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 14,445,648

Proper Divisor Sum 8,025,584

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #6420061 ← → #6420077

Radix Representation

Decimal	6420064
Binary	11000011111011001100000 (23 bits)
Octal	0o30373140
Hexadecimal	0x61F660

Divisor Catalog (24)

1 2 4 7 8 14 16 28 32 56 112 224 28,661 57,322 114,644 200,627 229,288 401,254 458,576 802,508 917,152 1,605,016 3,210,032 6,420,064

Collatz Trajectory (134 steps to reach 1)

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

6,420,064 3,210,032 1,605,016 802,508 401,254 200,627 601,882 300,941 902,824 451,412 225,706 112,853 338,560 169,280 84,640 42,320 21,160 10,580 5,290 2,645 7,936 3,968 1,984 992 496 248 124 62 31 94 47 142 71 214 107 322 161 484 242 121 364 182 91 274 137 412 206 103 310 155 466 233 700 350 175 526 263 790 395 1,186

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