7,192,073

7² × 146777

Starting at 7,192,073, the Collatz iteration reaches 1 after 90 steps. The first transition is 21576220; the starting value is odd with 6 positive divisors.

Prime Factor Structure

Factorization String 7^2 × 146777

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 8,366,346

Proper Divisor Sum 1,174,273

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #7192067 ← → #7192079

Radix Representation

Decimal	7192073
Binary	11011011011111000001001 (23 bits)
Octal	0o33337011
Hexadecimal	0x6DBE09

Divisor Catalog (6)

1 7 49 146,777 1,027,439 7,192,073

Collatz Trajectory (90 steps to reach 1)

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

7,192,073 21,576,220 10,788,110 5,394,055 16,182,166 8,091,083 24,273,250 12,136,625 36,409,876 18,204,938 9,102,469 27,307,408 13,653,704 6,826,852 3,413,426 1,706,713 5,120,140 2,560,070 1,280,035 3,840,106 1,920,053 5,760,160 2,880,080 1,440,040 720,020 360,010 180,005 540,016 270,008 135,004 67,502 33,751 101,254 50,627 151,882 75,941 227,824 113,912 56,956 28,478 14,239 42,718 21,359 64,078 32,039 96,118 48,059 144,178 72,089 216,268 108,134 54,067 162,202 81,101 243,304 121,652 60,826 30,413 91,240 45,620

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