6,620,712

2³ × 3 × 7 × 39409

Starting at 6,620,712, the Collatz iteration reaches 1 after 72 steps. The first transition is 3310356; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3 × 7 × 39409

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 18,916,800

Proper Divisor Sum 12,296,088

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #6620699 ← → #6620717

Radix Representation

Decimal	6620712
Binary	11001010000011000101000 (23 bits)
Octal	0o31203050
Hexadecimal	0x650628

Divisor Catalog (32)

1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 39,409 78,818 118,227 157,636 236,454 275,863 315,272 472,908 551,726 827,589 945,816 1,103,452 1,655,178 2,206,904 3,310,356 6,620,712

Collatz Trajectory (72 steps to reach 1)

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

6,620,712 3,310,356 1,655,178 827,589 2,482,768 1,241,384 620,692 310,346 155,173 465,520 232,760 116,380 58,190 29,095 87,286 43,643 130,930 65,465 196,396 98,198 49,099 147,298 73,649 220,948 110,474 55,237 165,712 82,856 41,428 20,714 10,357 31,072 15,536 7,768 3,884 1,942 971 2,914 1,457 4,372 2,186 1,093 3,280 1,640 820 410 205 616 308 154 77 232 116 58 29 88 44 22 11 34

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