7,399,997

11² × 23 × 2659

Starting at 7,399,997, the Collatz iteration reaches 1 after 235 steps. The first transition is 22199992; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 11^2 × 23 × 2659

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 8,490,720

Proper Divisor Sum 1,090,723

Digit Sum / Digital Root 53 (Root: 8)

Adjacent Primes #7399993 ← → #7400011

Radix Representation

Decimal	7399997
Binary	11100001110101000111101 (23 bits)
Octal	0o34165075
Hexadecimal	0x70EA3D

Divisor Catalog (12)

1 11 23 121 253 2,659 2,783 29,249 61,157 321,739 672,727 7,399,997

Collatz Trajectory (235 steps to reach 1)

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

7,399,997 22,199,992 11,099,996 5,549,998 2,774,999 8,324,998 4,162,499 12,487,498 6,243,749 18,731,248 9,365,624 4,682,812 2,341,406 1,170,703 3,512,110 1,756,055 5,268,166 2,634,083 7,902,250 3,951,125 11,853,376 5,926,688 2,963,344 1,481,672 740,836 370,418 185,209 555,628 277,814 138,907 416,722 208,361 625,084 312,542 156,271 468,814 234,407 703,222 351,611 1,054,834 527,417 1,582,252 791,126 395,563 1,186,690 593,345 1,780,036 890,018 445,009 1,335,028 667,514 333,757 1,001,272 500,636 250,318 125,159 375,478 187,739 563,218 281,609

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