7,116,291

3² × 7 × 13 × 8689

Starting at 7,116,291, the Collatz iteration reaches 1 after 173 steps. The first transition is 21348874; the starting value is odd with 24 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 7 × 13 × 8689

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 12,652,640

Proper Divisor Sum 5,536,349

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #7116289 ← → #7116299

Radix Representation

Decimal	7116291
Binary	11011001001011000000011 (23 bits)
Octal	0o33113003
Hexadecimal	0x6C9603

Divisor Catalog (24)

1 3 7 9 13 21 39 63 91 117 273 819 8,689 26,067 60,823 78,201 112,957 182,469 338,871 547,407 790,699 1,016,613 2,372,097 7,116,291

Collatz Trajectory (173 steps to reach 1)

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

7,116,291 21,348,874 10,674,437 32,023,312 16,011,656 8,005,828 4,002,914 2,001,457 6,004,372 3,002,186 1,501,093 4,503,280 2,251,640 1,125,820 562,910 281,455 844,366 422,183 1,266,550 633,275 1,899,826 949,913 2,849,740 1,424,870 712,435 2,137,306 1,068,653 3,205,960 1,602,980 801,490 400,745 1,202,236 601,118 300,559 901,678 450,839 1,352,518 676,259 2,028,778 1,014,389 3,043,168 1,521,584 760,792 380,396 190,198 95,099 285,298 142,649 427,948 213,974 106,987 320,962 160,481 481,444 240,722 120,361 361,084 180,542 90,271 270,814

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