7,702,233

3 × 7 × 11 × 33343

Starting at 7,702,233, the Collatz iteration reaches 1 after 111 steps. The first transition is 23106700; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 7 × 11 × 33343

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 12,804,096

Proper Divisor Sum 5,101,863

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #7702213 ← → #7702243

Radix Representation

Decimal	7702233
Binary	11101011000011011011001 (23 bits)
Octal	0o35303331
Hexadecimal	0x7586D9

Divisor Catalog (16)

1 3 7 11 21 33 77 231 33,343 100,029 233,401 366,773 700,203 1,100,319 2,567,411 7,702,233

Collatz Trajectory (111 steps to reach 1)

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

7,702,233 23,106,700 11,553,350 5,776,675 17,330,026 8,665,013 25,995,040 12,997,520 6,498,760 3,249,380 1,624,690 812,345 2,437,036 1,218,518 609,259 1,827,778 913,889 2,741,668 1,370,834 685,417 2,056,252 1,028,126 514,063 1,542,190 771,095 2,313,286 1,156,643 3,469,930 1,734,965 5,204,896 2,602,448 1,301,224 650,612 325,306 162,653 487,960 243,980 121,990 60,995 182,986 91,493 274,480 137,240 68,620 34,310 17,155 51,466 25,733 77,200 38,600 19,300 9,650 4,825 14,476 7,238 3,619 10,858 5,429 16,288 8,144

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