1,077,741

3² × 7 × 17107

1,077,741 factors as 3^2 × 7 × 17107. Its 12 positive divisors give a proper-divisor sum of 701,491, so this integer is deficient. The Collatz stopping time is 165 steps.

Prime Factor Structure

Factorization String 3^2 × 7 × 17107

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 1,779,232

Proper Divisor Sum 701,491

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #1077733 ← → #1077743

Radix Representation

Decimal	1077741
Binary	100000111000111101101 (21 bits)
Octal	0o4070755
Hexadecimal	0x1071ED

Divisor Catalog (12)

1 3 7 9 21 63 17,107 51,321 119,749 153,963 359,247 1,077,741

Collatz Trajectory (165 steps to reach 1)

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

1,077,741 3,233,224 1,616,612 808,306 404,153 1,212,460 606,230 303,115 909,346 454,673 1,364,020 682,010 341,005 1,023,016 511,508 255,754 127,877 383,632 191,816 95,908 47,954 23,977 71,932 35,966 17,983 53,950 26,975 80,926 40,463 121,390 60,695 182,086 91,043 273,130 136,565 409,696 204,848 102,424 51,212 25,606 12,803 38,410 19,205 57,616 28,808 14,404 7,202 3,601 10,804 5,402 2,701 8,104 4,052 2,026 1,013 3,040 1,520 760 380 190

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