7,779,591

3³ × 17² × 997

7,779,591 factors as 3^3 × 17^2 × 997. Its 24 positive divisors give a proper-divisor sum of 4,475,849, so this integer is deficient. The Collatz stopping time is 248 steps.

Prime Factor Structure

Factorization String 3^3 × 17^2 × 997

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 12,255,440

Proper Divisor Sum 4,475,849

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #7779587 ← → #7779593

Radix Representation

Decimal	7779591
Binary	11101101011010100000111 (23 bits)
Octal	0o35532407
Hexadecimal	0x76B507

Divisor Catalog (24)

Collatz Trajectory (248 steps to reach 1)

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

7,779,591 23,338,774 11,669,387 35,008,162 17,504,081 52,512,244 26,256,122 13,128,061 39,384,184 19,692,092 9,846,046 4,923,023 14,769,070 7,384,535 22,153,606 11,076,803 33,230,410 16,615,205 49,845,616 24,922,808 12,461,404 6,230,702 3,115,351 9,346,054 4,673,027 14,019,082 7,009,541 21,028,624 10,514,312 5,257,156 2,628,578 1,314,289 3,942,868 1,971,434 985,717 2,957,152 1,478,576 739,288 369,644 184,822 92,411 277,234 138,617 415,852 207,926 103,963 311,890 155,945 467,836 233,918 116,959 350,878 175,439 526,318 263,159 789,478 394,739 1,184,218 592,109 1,776,328

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