7,031,068

2² × 11² × 73 × 199

Starting at 7,031,068, the Collatz iteration reaches 1 after 98 steps. The first transition is 3515534; the starting value is even with 36 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 11^2 × 73 × 199

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 13,778,800

Proper Divisor Sum 6,747,732

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #7031051 ← → #7031071

Radix Representation

Decimal	7031068
Binary	11010110100100100011100 (23 bits)
Octal	0o32644434
Hexadecimal	0x6B491C

Divisor Catalog (36)

1 2 4 11 22 44 73 121 146 199 242 292 398 484 796 803 1,606 2,189 3,212 4,378 8,756 8,833 14,527 17,666 24,079 29,054 35,332 48,158 58,108 96,316 159,797 319,594 639,188 1,757,767 3,515,534 7,031,068

Collatz Trajectory (98 steps to reach 1)

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

7,031,068 3,515,534 1,757,767 5,273,302 2,636,651 7,909,954 3,954,977 11,864,932 5,932,466 2,966,233 8,898,700 4,449,350 2,224,675 6,674,026 3,337,013 10,011,040 5,005,520 2,502,760 1,251,380 625,690 312,845 938,536 469,268 234,634 117,317 351,952 175,976 87,988 43,994 21,997 65,992 32,996 16,498 8,249 24,748 12,374 6,187 18,562 9,281 27,844 13,922 6,961 20,884 10,442 5,221 15,664 7,832 3,916 1,958 979 2,938 1,469 4,408 2,204 1,102 551 1,654 827 2,482 1,241

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