7,655,964

2² × 3 × 23 × 27739

Starting at 7,655,964, the Collatz iteration reaches 1 after 310 steps. The first transition is 3827982; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 23 × 27739

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 18,641,280

Proper Divisor Sum 10,985,316

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #7655953 ← → #7656007

Radix Representation

Decimal	7655964
Binary	11101001101001000011100 (23 bits)
Octal	0o35151034
Hexadecimal	0x74D21C

Divisor Catalog (24)

1 2 3 4 6 12 23 46 69 92 138 276 27,739 55,478 83,217 110,956 166,434 332,868 637,997 1,275,994 1,913,991 2,551,988 3,827,982 7,655,964

Collatz Trajectory (310 steps to reach 1)

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

7,655,964 3,827,982 1,913,991 5,741,974 2,870,987 8,612,962 4,306,481 12,919,444 6,459,722 3,229,861 9,689,584 4,844,792 2,422,396 1,211,198 605,599 1,816,798 908,399 2,725,198 1,362,599 4,087,798 2,043,899 6,131,698 3,065,849 9,197,548 4,598,774 2,299,387 6,898,162 3,449,081 10,347,244 5,173,622 2,586,811 7,760,434 3,880,217 11,640,652 5,820,326 2,910,163 8,730,490 4,365,245 13,095,736 6,547,868 3,273,934 1,636,967 4,910,902 2,455,451 7,366,354 3,683,177 11,049,532 5,524,766 2,762,383 8,287,150 4,143,575 12,430,726 6,215,363 18,646,090 9,323,045 27,969,136 13,984,568 6,992,284 3,496,142 1,748,071

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