λ
Ratio Atlas

12,937,279

73 × 177223
Deficient Odd Composite

12,937,279 factors as 73 × 177223. Its 4 positive divisors give a proper-divisor sum of 177,297, so this integer is deficient. The Collatz stopping time is 241 steps.

Prime Factor Structure

Factorization String 73 × 177223
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 13,114,576
Proper Divisor Sum 177,297
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #12937273 ← → #12937333

Radix Representation

Decimal 12937279
Binary 110001010110100000111111 (24 bits)
Octal 0o61264077
Hexadecimal 0xC5683F

Divisor Catalog (4)

Collatz Trajectory (241 steps to reach 1)

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

12,937,279 38,811,838 19,405,919 58,217,758 29,108,879 87,326,638 43,663,319 130,989,958 65,494,979 196,484,938 98,242,469 294,727,408 147,363,704 73,681,852 36,840,926 18,420,463 55,261,390 27,630,695 82,892,086 41,446,043 124,338,130 62,169,065 186,507,196 93,253,598 46,626,799 139,880,398 69,940,199 209,820,598 104,910,299 314,730,898 157,365,449 472,096,348 236,048,174 118,024,087 354,072,262 177,036,131 531,108,394 265,554,197 796,662,592 398,331,296 199,165,648 99,582,824 49,791,412 24,895,706 12,447,853 37,343,560 18,671,780 9,335,890 4,667,945 14,003,836 7,001,918 3,500,959 10,502,878 5,251,439 15,754,318 7,877,159 23,631,478 11,815,739 35,447,218 17,723,609

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