997,326

2 × 3³ × 11 × 23 × 73

997,326 factors as 2 × 3^3 × 11 × 23 × 73. Its 64 positive divisors give a proper-divisor sum of 1,560,114, so this integer is abundant. The Collatz stopping time is 77 steps.

Prime Factor Structure

Factorization String 2 × 3^3 × 11 × 23 × 73

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 2,557,440

Proper Divisor Sum 1,560,114

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #997319 ← → #997327

Radix Representation

Decimal	997326
Binary	11110011011111001110 (20 bits)
Octal	0o3633716
Hexadecimal	0xF37CE

Divisor Catalog (60 of 64)

1 2 3 6 9 11 18 22 23 27 33 46 54 66 69 73 99 138 146 198 207 219 253 297 414 438 506 594 621 657 759 803 1,242 1,314 1,518 1,606 1,679 1,971 2,277 2,409 3,358 3,942 4,554 4,818 5,037 6,831 7,227 10,074 13,662 14,454 15,111 18,469 21,681 30,222 36,938 43,362 45,333 55,407 90,666 110,814

Collatz Trajectory (77 steps to reach 1)

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

997,326 498,663 1,495,990 747,995 2,243,986 1,121,993 3,365,980 1,682,990 841,495 2,524,486 1,262,243 3,786,730 1,893,365 5,680,096 2,840,048 1,420,024 710,012 355,006 177,503 532,510 266,255 798,766 399,383 1,198,150 599,075 1,797,226 898,613 2,695,840 1,347,920 673,960 336,980 168,490 84,245 252,736 126,368 63,184 31,592 15,796 7,898 3,949 11,848 5,924 2,962 1,481 4,444 2,222 1,111 3,334 1,667 5,002 2,501 7,504 3,752 1,876 938 469 1,408 704 352 176

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