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Atlas › Integer Profiles › Node 20,005,845

20,005,845

3 × 5 × 1333723
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 5 × 1333723
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 32,009,376
Proper Divisor Sum 12,003,531
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #20005829 ← → #20005847

Radix Representation

Decimal 20005845
Binary 1001100010100001111010101 (25 bits)
Octal 0o114241725
Hexadecimal 0x13143D5

Divisor Catalog (8)

1 3 5 15 1,333,723 4,001,169 6,668,615 20,005,845

Collatz Trajectory (58 steps to reach 1)

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

20,005,845 60,017,536 30,008,768 15,004,384 7,502,192 3,751,096 1,875,548 937,774 468,887 1,406,662 703,331 2,109,994 1,054,997 3,164,992 1,582,496 791,248 395,624 197,812 98,906 49,453 148,360 74,180 37,090 18,545 55,636 27,818 13,909 41,728 20,864 10,432 5,216 2,608 1,304 652 326 163 490 245 736 368 184 92 46 23 70 35 106 53 160 80 40 20 10 5 16 8 4 2 1

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