7,181,391

3 × 7⁴ × 997

7,181,391 has digital root 3. The neighboring primes are 7181381 and 7181399; its proper-divisor sum differs from the starting integer by -3,181,190.

Prime Factor Structure

Factorization String 3 × 7^4 × 997

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 11,181,592

Proper Divisor Sum 4,000,201

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #7181381 ← → #7181399

Radix Representation

Decimal	7181391
Binary	11011011001010001001111 (23 bits)
Octal	0o33312117
Hexadecimal	0x6D944F

Divisor Catalog (20)

1 3 7 21 49 147 343 997 1,029 2,401 2,991 6,979 7,203 20,937 48,853 146,559 341,971 1,025,913 2,393,797 7,181,391

Collatz Trajectory (191 steps to reach 1)

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

7,181,391 21,544,174 10,772,087 32,316,262 16,158,131 48,474,394 24,237,197 72,711,592 36,355,796 18,177,898 9,088,949 27,266,848 13,633,424 6,816,712 3,408,356 1,704,178 852,089 2,556,268 1,278,134 639,067 1,917,202 958,601 2,875,804 1,437,902 718,951 2,156,854 1,078,427 3,235,282 1,617,641 4,852,924 2,426,462 1,213,231 3,639,694 1,819,847 5,459,542 2,729,771 8,189,314 4,094,657 12,283,972 6,141,986 3,070,993 9,212,980 4,606,490 2,303,245 6,909,736 3,454,868 1,727,434 863,717 2,591,152 1,295,576 647,788 323,894 161,947 485,842 242,921 728,764 364,382 182,191 546,574 273,287

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