λ
Sequence Observatory

2,013,323

13 × 154871
Deficient Odd Composite

Starting at 2,013,323, the Collatz iteration reaches 1 after 96 steps. The first transition is 6039970; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 13 × 154871
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 2,168,208
Proper Divisor Sum 154,885
Digit Sum / Digital Root 14 (Root: 5)
Adjacent Primes #2013313 ← → #2013329

Radix Representation

Decimal 2013323
Binary 111101011100010001011 (21 bits)
Octal 0o7534213
Hexadecimal 0x1EB88B

Divisor Catalog (4)

1 13 154,871 2,013,323

Collatz Trajectory (96 steps to reach 1)

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

2,013,323 6,039,970 3,019,985 9,059,956 4,529,978 2,264,989 6,794,968 3,397,484 1,698,742 849,371 2,548,114 1,274,057 3,822,172 1,911,086 955,543 2,866,630 1,433,315 4,299,946 2,149,973 6,449,920 3,224,960 1,612,480 806,240 403,120 201,560 100,780 50,390 25,195 75,586 37,793 113,380 56,690 28,345 85,036 42,518 21,259 63,778 31,889 95,668 47,834 23,917 71,752 35,876 17,938 8,969 26,908 13,454 6,727 20,182 10,091 30,274 15,137 45,412 22,706 11,353 34,060 17,030 8,515 25,546 12,773

More profiles

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