1,196,874

2 × 3² × 7² × 23 × 59

1,196,874 factors as 2 × 3^2 × 7^2 × 23 × 59. Its 72 positive divisors give a proper-divisor sum of 2,004,246, so this integer is abundant. The Collatz stopping time is 235 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 7^2 × 23 × 59

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 3,201,120

Proper Divisor Sum 2,004,246

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #1196873 ← → #1196891

Radix Representation

Decimal	1196874
Binary	100100100001101001010 (21 bits)
Octal	0o4441512
Hexadecimal	0x12434A

Divisor Catalog (60 of 72)

1 2 3 6 7 9 14 18 21 23 42 46 49 59 63 69 98 118 126 138 147 161 177 207 294 322 354 413 414 441 483 531 826 882 966 1,062 1,127 1,239 1,357 1,449 2,254 2,478 2,714 2,891 2,898 3,381 3,717 4,071 5,782 6,762 7,434 8,142 8,673 9,499 10,143 12,213 17,346 18,998 20,286 24,426

Collatz Trajectory (235 steps to reach 1)

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

1,196,874 598,437 1,795,312 897,656 448,828 224,414 112,207 336,622 168,311 504,934 252,467 757,402 378,701 1,136,104 568,052 284,026 142,013 426,040 213,020 106,510 53,255 159,766 79,883 239,650 119,825 359,476 179,738 89,869 269,608 134,804 67,402 33,701 101,104 50,552 25,276 12,638 6,319 18,958 9,479 28,438 14,219 42,658 21,329 63,988 31,994 15,997 47,992 23,996 11,998 5,999 17,998 8,999 26,998 13,499 40,498 20,249 60,748 30,374 15,187 45,562

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