6,765,964

2² × 43 × 139 × 283

Starting at 6,765,964, the Collatz iteration reaches 1 after 85 steps. The first transition is 3382982; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 43 × 139 × 283

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 12,246,080

Proper Divisor Sum 5,480,116

Digit Sum / Digital Root 43 (Root: 7)

Adjacent Primes #6765959 ← → #6765977

Radix Representation

Decimal	6765964
Binary	11001110011110110001100 (23 bits)
Octal	0o31636614
Hexadecimal	0x673D8C

Divisor Catalog (24)

1 2 4 43 86 139 172 278 283 556 566 1,132 5,977 11,954 12,169 23,908 24,338 39,337 48,676 78,674 157,348 1,691,491 3,382,982 6,765,964

Collatz Trajectory (85 steps to reach 1)

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

6,765,964 3,382,982 1,691,491 5,074,474 2,537,237 7,611,712 3,805,856 1,902,928 951,464 475,732 237,866 118,933 356,800 178,400 89,200 44,600 22,300 11,150 5,575 16,726 8,363 25,090 12,545 37,636 18,818 9,409 28,228 14,114 7,057 21,172 10,586 5,293 15,880 7,940 3,970 1,985 5,956 2,978 1,489 4,468 2,234 1,117 3,352 1,676 838 419 1,258 629 1,888 944 472 236 118 59 178 89 268 134 67 202

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