840,191

11 × 17 × 4493

840,191 factors as 11 × 17 × 4493. Its 8 positive divisors give a proper-divisor sum of 130,513, so this integer is deficient. The Collatz stopping time is 175 steps.

Prime Factor Structure

Factorization String 11 × 17 × 4493

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 970,704

Proper Divisor Sum 130,513

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #840187 ← → #840197

Radix Representation

Decimal	840191
Binary	11001101000111111111 (20 bits)
Octal	0o3150777
Hexadecimal	0xCD1FF

Divisor Catalog (8)

1 11 17 187 4,493 49,423 76,381 840,191

Collatz Trajectory (175 steps to reach 1)

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

840,191 2,520,574 1,260,287 3,780,862 1,890,431 5,671,294 2,835,647 8,506,942 4,253,471 12,760,414 6,380,207 19,140,622 9,570,311 28,710,934 14,355,467 43,066,402 21,533,201 64,599,604 32,299,802 16,149,901 48,449,704 24,224,852 12,112,426 6,056,213 18,168,640 9,084,320 4,542,160 2,271,080 1,135,540 567,770 283,885 851,656 425,828 212,914 106,457 319,372 159,686 79,843 239,530 119,765 359,296 179,648 89,824 44,912 22,456 11,228 5,614 2,807 8,422 4,211 12,634 6,317 18,952 9,476 4,738 2,369 7,108 3,554 1,777 5,332

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