1,182,177

3² × 23 × 5711

1,182,177 has digital root 9. The neighboring primes are 1182157 and 1182211; its proper-divisor sum differs from the starting integer by -582,210.

Prime Factor Structure

Factorization String 3^2 × 23 × 5711

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 1,782,144

Proper Divisor Sum 599,967

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #1182157 ← → #1182211

Radix Representation

Decimal	1182177
Binary	100100000100111100001 (21 bits)
Octal	0o4404741
Hexadecimal	0x1209E1

Divisor Catalog (12)

1 3 9 23 69 207 5,711 17,133 51,399 131,353 394,059 1,182,177

Collatz Trajectory (98 steps to reach 1)

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

1,182,177 3,546,532 1,773,266 886,633 2,659,900 1,329,950 664,975 1,994,926 997,463 2,992,390 1,496,195 4,488,586 2,244,293 6,732,880 3,366,440 1,683,220 841,610 420,805 1,262,416 631,208 315,604 157,802 78,901 236,704 118,352 59,176 29,588 14,794 7,397 22,192 11,096 5,548 2,774 1,387 4,162 2,081 6,244 3,122 1,561 4,684 2,342 1,171 3,514 1,757 5,272 2,636 1,318 659 1,978 989 2,968 1,484 742 371 1,114 557 1,672 836 418 209

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