1,091,092

2² × 41 × 6653

1,091,092 factors as 2^2 × 41 × 6653. Its 12 positive divisors give a proper-divisor sum of 865,184, so this integer is deficient. The Collatz stopping time is 209 steps.

Prime Factor Structure

Factorization String 2^2 × 41 × 6653

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 1,956,276

Proper Divisor Sum 865,184

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #1091071 ← → #1091119

Radix Representation

Decimal	1091092
Binary	100001010011000010100 (21 bits)
Octal	0o4123024
Hexadecimal	0x10A614

Divisor Catalog (12)

1 2 4 41 82 164 6,653 13,306 26,612 272,773 545,546 1,091,092

Collatz Trajectory (209 steps to reach 1)

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

1,091,092 545,546 272,773 818,320 409,160 204,580 102,290 51,145 153,436 76,718 38,359 115,078 57,539 172,618 86,309 258,928 129,464 64,732 32,366 16,183 48,550 24,275 72,826 36,413 109,240 54,620 27,310 13,655 40,966 20,483 61,450 30,725 92,176 46,088 23,044 11,522 5,761 17,284 8,642 4,321 12,964 6,482 3,241 9,724 4,862 2,431 7,294 3,647 10,942 5,471 16,414 8,207 24,622 12,311 36,934 18,467 55,402 27,701 83,104 41,552

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