7,767,964

2² × 281 × 6911

Starting at 7,767,964, the Collatz iteration reaches 1 after 178 steps. The first transition is 3883982; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 281 × 6911

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 13,644,288

Proper Divisor Sum 5,876,324

Digit Sum / Digital Root 46 (Root: 1)

Adjacent Primes #7767961 ← → #7767967

Radix Representation

Decimal	7767964
Binary	11101101000011110011100 (23 bits)
Octal	0o35503634
Hexadecimal	0x76879C

Divisor Catalog (12)

1 2 4 281 562 1,124 6,911 13,822 27,644 1,941,991 3,883,982 7,767,964

Collatz Trajectory (178 steps to reach 1)

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

7,767,964 3,883,982 1,941,991 5,825,974 2,912,987 8,738,962 4,369,481 13,108,444 6,554,222 3,277,111 9,831,334 4,915,667 14,747,002 7,373,501 22,120,504 11,060,252 5,530,126 2,765,063 8,295,190 4,147,595 12,442,786 6,221,393 18,664,180 9,332,090 4,666,045 13,998,136 6,999,068 3,499,534 1,749,767 5,249,302 2,624,651 7,873,954 3,936,977 11,810,932 5,905,466 2,952,733 8,858,200 4,429,100 2,214,550 1,107,275 3,321,826 1,660,913 4,982,740 2,491,370 1,245,685 3,737,056 1,868,528 934,264 467,132 233,566 116,783 350,350 175,175 525,526 262,763 788,290 394,145 1,182,436 591,218 295,609

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