790,427

11 × 181 × 397

790,427 factors as 11 × 181 × 397. Its 8 positive divisors give a proper-divisor sum of 78,805, so this integer is deficient. The Collatz stopping time is 149 steps.

Prime Factor Structure

Factorization String 11 × 181 × 397

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 869,232

Proper Divisor Sum 78,805

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #790421 ← → #790429

Radix Representation

Decimal	790427
Binary	11000000111110011011 (20 bits)
Octal	0o3007633
Hexadecimal	0xC0F9B

Divisor Catalog (8)

1 11 181 397 1,991 4,367 71,857 790,427

Collatz Trajectory (149 steps to reach 1)

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

790,427 2,371,282 1,185,641 3,556,924 1,778,462 889,231 2,667,694 1,333,847 4,001,542 2,000,771 6,002,314 3,001,157 9,003,472 4,501,736 2,250,868 1,125,434 562,717 1,688,152 844,076 422,038 211,019 633,058 316,529 949,588 474,794 237,397 712,192 356,096 178,048 89,024 44,512 22,256 11,128 5,564 2,782 1,391 4,174 2,087 6,262 3,131 9,394 4,697 14,092 7,046 3,523 10,570 5,285 15,856 7,928 3,964 1,982 991 2,974 1,487 4,462 2,231 6,694 3,347 10,042 5,021

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