λ
Prime Ledger

2,181,008

24 × 271 × 503
Deficient Even Composite

2,181,008 has the prime decomposition 2^4 × 271 × 503. Its 3 distinct prime factors produce 20 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 271 × 503
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 4,249,728
Proper Divisor Sum 2,068,720
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #2181007 ← → #2181017

Radix Representation

Decimal 2181008
Binary 1000010100011110010000 (22 bits)
Octal 0o10243620
Hexadecimal 0x214790

Divisor Catalog (20)

1 2 4 8 16 271 503 542 1,006 1,084 2,012 2,168 4,024 4,336 8,048 136,313 272,626 545,252 1,090,504 2,181,008

Collatz Trajectory (148 steps to reach 1)

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

2,181,008 1,090,504 545,252 272,626 136,313 408,940 204,470 102,235 306,706 153,353 460,060 230,030 115,015 345,046 172,523 517,570 258,785 776,356 388,178 194,089 582,268 291,134 145,567 436,702 218,351 655,054 327,527 982,582 491,291 1,473,874 736,937 2,210,812 1,105,406 552,703 1,658,110 829,055 2,487,166 1,243,583 3,730,750 1,865,375 5,596,126 2,798,063 8,394,190 4,197,095 12,591,286 6,295,643 18,886,930 9,443,465 28,330,396 14,165,198 7,082,599 21,247,798 10,623,899 31,871,698 15,935,849 47,807,548 23,903,774 11,951,887 35,855,662 17,927,831

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