7,180,199

13 × 127 × 4349

7,180,199 factors as 13 × 127 × 4349. Its 8 positive divisors give a proper-divisor sum of 615,001, so this integer is deficient. The Collatz stopping time is 191 steps.

Prime Factor Structure

Factorization String 13 × 127 × 4349

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 7,795,200

Proper Divisor Sum 615,001

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #7180193 ← → #7180223

Radix Representation

Decimal	7180199
Binary	11011011000111110100111 (23 bits)
Octal	0o33307647
Hexadecimal	0x6D8FA7

Divisor Catalog (8)

1 13 127 1,651 4,349 56,537 552,323 7,180,199

Collatz Trajectory (191 steps to reach 1)

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

7,180,199 21,540,598 10,770,299 32,310,898 16,155,449 48,466,348 24,233,174 12,116,587 36,349,762 18,174,881 54,524,644 27,262,322 13,631,161 40,893,484 20,446,742 10,223,371 30,670,114 15,335,057 46,005,172 23,002,586 11,501,293 34,503,880 17,251,940 8,625,970 4,312,985 12,938,956 6,469,478 3,234,739 9,704,218 4,852,109 14,556,328 7,278,164 3,639,082 1,819,541 5,458,624 2,729,312 1,364,656 682,328 341,164 170,582 85,291 255,874 127,937 383,812 191,906 95,953 287,860 143,930 71,965 215,896 107,948 53,974 26,987 80,962 40,481 121,444 60,722 30,361 91,084 45,542

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