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923,643

36 × 7 × 181
Deficient Odd Composite

923,643 factors as 3^6 × 7 × 181. Its 28 positive divisors give a proper-divisor sum of 667,765, so this integer is deficient. The Collatz stopping time is 201 steps.

Prime Factor Structure

Factorization String 3^6 × 7 × 181
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 28
Divisor Sum (σ) 1,591,408
Proper Divisor Sum 667,765
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #923641 ← → #923653

Radix Representation

Decimal 923643
Binary 11100001011111111011 (20 bits)
Octal 0o3413773
Hexadecimal 0xE17FB

Divisor Catalog (28)

1 3 7 9 21 27 63 81 181 189 243 543 567 729 1,267 1,629 1,701 3,801 4,887 5,103 11,403 14,661 34,209 43,983 102,627 131,949 307,881 923,643

Collatz Trajectory (201 steps to reach 1)

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

923,643 2,770,930 1,385,465 4,156,396 2,078,198 1,039,099 3,117,298 1,558,649 4,675,948 2,337,974 1,168,987 3,506,962 1,753,481 5,260,444 2,630,222 1,315,111 3,945,334 1,972,667 5,918,002 2,959,001 8,877,004 4,438,502 2,219,251 6,657,754 3,328,877 9,986,632 4,993,316 2,496,658 1,248,329 3,744,988 1,872,494 936,247 2,808,742 1,404,371 4,213,114 2,106,557 6,319,672 3,159,836 1,579,918 789,959 2,369,878 1,184,939 3,554,818 1,777,409 5,332,228 2,666,114 1,333,057 3,999,172 1,999,586 999,793 2,999,380 1,499,690 749,845 2,249,536 1,124,768 562,384 281,192 140,596 70,298 35,149

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