λ
Integer Codex

7,281,167

7281167
Deficient Odd Prime

For 7,281,167, the 2 positive divisors have a total of 7,281,168. Removing 7,281,167 leaves 1, which gives the deficient classification.

Prime Factor Structure

Factorization String 7281167
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 7,281,168
Proper Divisor Sum 1
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #7281103 ← → #7281181

Radix Representation

Decimal 7281167
Binary 11011110001101000001111 (23 bits)
Octal 0o33615017
Hexadecimal 0x6F1A0F

Divisor Catalog (2)

Collatz Trajectory (111 steps to reach 1)

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

7,281,167 21,843,502 10,921,751 32,765,254 16,382,627 49,147,882 24,573,941 73,721,824 36,860,912 18,430,456 9,215,228 4,607,614 2,303,807 6,911,422 3,455,711 10,367,134 5,183,567 15,550,702 7,775,351 23,326,054 11,663,027 34,989,082 17,494,541 52,483,624 26,241,812 13,120,906 6,560,453 19,681,360 9,840,680 4,920,340 2,460,170 1,230,085 3,690,256 1,845,128 922,564 461,282 230,641 691,924 345,962 172,981 518,944 259,472 129,736 64,868 32,434 16,217 48,652 24,326 12,163 36,490 18,245 54,736 27,368 13,684 6,842 3,421 10,264 5,132 2,566 1,283

More profiles

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