λ
Prime Ledger

9,690,006

2 × 3 × 1615001
Abundant Even Composite

9,690,006 has the prime decomposition 2 × 3 × 1615001. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 1615001
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 19,380,024
Proper Divisor Sum 9,690,018
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #9689993 ← → #9690029

Radix Representation

Decimal 9690006
Binary 100100111101101110010110 (24 bits)
Octal 0o44755626
Hexadecimal 0x93DB96

Divisor Catalog (8)

1 2 3 6 1,615,001 3,230,002 4,845,003 9,690,006

Collatz Trajectory (238 steps to reach 1)

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

9,690,006 4,845,003 14,535,010 7,267,505 21,802,516 10,901,258 5,450,629 16,351,888 8,175,944 4,087,972 2,043,986 1,021,993 3,065,980 1,532,990 766,495 2,299,486 1,149,743 3,449,230 1,724,615 5,173,846 2,586,923 7,760,770 3,880,385 11,641,156 5,820,578 2,910,289 8,730,868 4,365,434 2,182,717 6,548,152 3,274,076 1,637,038 818,519 2,455,558 1,227,779 3,683,338 1,841,669 5,525,008 2,762,504 1,381,252 690,626 345,313 1,035,940 517,970 258,985 776,956 388,478 194,239 582,718 291,359 874,078 437,039 1,311,118 655,559 1,966,678 983,339 2,950,018 1,475,009 4,425,028 2,212,514

More profiles

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