7,122,284

2² × 13 × 29 × 4723

Starting at 7,122,284, the Collatz iteration reaches 1 after 121 steps. The first transition is 3561142; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 13 × 29 × 4723

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 13,888,560

Proper Divisor Sum 6,766,276

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #7122263 ← → #7122289

Radix Representation

Decimal	7122284
Binary	11011001010110101101100 (23 bits)
Octal	0o33126554
Hexadecimal	0x6CAD6C

Divisor Catalog (24)

1 2 4 13 26 29 52 58 116 377 754 1,508 4,723 9,446 18,892 61,399 122,798 136,967 245,596 273,934 547,868 1,780,571 3,561,142 7,122,284

Collatz Trajectory (121 steps to reach 1)

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

7,122,284 3,561,142 1,780,571 5,341,714 2,670,857 8,012,572 4,006,286 2,003,143 6,009,430 3,004,715 9,014,146 4,507,073 13,521,220 6,760,610 3,380,305 10,140,916 5,070,458 2,535,229 7,605,688 3,802,844 1,901,422 950,711 2,852,134 1,426,067 4,278,202 2,139,101 6,417,304 3,208,652 1,604,326 802,163 2,406,490 1,203,245 3,609,736 1,804,868 902,434 451,217 1,353,652 676,826 338,413 1,015,240 507,620 253,810 126,905 380,716 190,358 95,179 285,538 142,769 428,308 214,154 107,077 321,232 160,616 80,308 40,154 20,077 60,232 30,116 15,058 7,529

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