7,493,167

11² × 61927

Starting at 7,493,167, the Collatz iteration reaches 1 after 266 steps. The first transition is 22479502; the starting value is odd with 6 positive divisors.

Prime Factor Structure

Factorization String 11^2 × 61927

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 8,236,424

Proper Divisor Sum 743,257

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #7493159 ← → #7493237

Radix Representation

Decimal	7493167
Binary	11100100101011000101111 (23 bits)
Octal	0o34453057
Hexadecimal	0x72562F

Divisor Catalog (6)

1 11 121 61,927 681,197 7,493,167

Collatz Trajectory (266 steps to reach 1)

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

7,493,167 22,479,502 11,239,751 33,719,254 16,859,627 50,578,882 25,289,441 75,868,324 37,934,162 18,967,081 56,901,244 28,450,622 14,225,311 42,675,934 21,337,967 64,013,902 32,006,951 96,020,854 48,010,427 144,031,282 72,015,641 216,046,924 108,023,462 54,011,731 162,035,194 81,017,597 243,052,792 121,526,396 60,763,198 30,381,599 91,144,798 45,572,399 136,717,198 68,358,599 205,075,798 102,537,899 307,613,698 153,806,849 461,420,548 230,710,274 115,355,137 346,065,412 173,032,706 86,516,353 259,549,060 129,774,530 64,887,265 194,661,796 97,330,898 48,665,449 145,996,348 72,998,174 36,499,087 109,497,262 54,748,631 164,245,894 82,122,947 246,368,842 123,184,421 369,553,264

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