λ
Prime Ledger

9,773,982

2 × 32 × 542999
Abundant Even Composite

9,773,982 has the prime decomposition 2 × 3^2 × 542999. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 542999
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 21,177,000
Proper Divisor Sum 11,403,018
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #9773977 ← → #9773983

Radix Representation

Decimal 9773982
Binary 100101010010001110011110 (24 bits)
Octal 0o45221636
Hexadecimal 0x95239E

Divisor Catalog (12)

1 2 3 6 9 18 542,999 1,085,998 1,628,997 3,257,994 4,886,991 9,773,982

Collatz Trajectory (269 steps to reach 1)

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

9,773,982 4,886,991 14,660,974 7,330,487 21,991,462 10,995,731 32,987,194 16,493,597 49,480,792 24,740,396 12,370,198 6,185,099 18,555,298 9,277,649 27,832,948 13,916,474 6,958,237 20,874,712 10,437,356 5,218,678 2,609,339 7,828,018 3,914,009 11,742,028 5,871,014 2,935,507 8,806,522 4,403,261 13,209,784 6,604,892 3,302,446 1,651,223 4,953,670 2,476,835 7,430,506 3,715,253 11,145,760 5,572,880 2,786,440 1,393,220 696,610 348,305 1,044,916 522,458 261,229 783,688 391,844 195,922 97,961 293,884 146,942 73,471 220,414 110,207 330,622 165,311 495,934 247,967 743,902 371,951

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