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Atlas › Integer Profiles › Node 1,819,349

1,819,349

7 × 259907
Deficient Odd Composite

Starting at 1,819,349, the Collatz iteration reaches 1 after 65 steps. The first transition is 5458048; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 7 × 259907
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 2,079,264
Proper Divisor Sum 259,915
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #1819343 ← → #1819361

Radix Representation

Decimal 1819349
Binary 110111100001011010101 (21 bits)
Octal 0o6741325
Hexadecimal 0x1BC2D5

Divisor Catalog (4)

1 7 259,907 1,819,349

Collatz Trajectory (65 steps to reach 1)

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

1,819,349 5,458,048 2,729,024 1,364,512 682,256 341,128 170,564 85,282 42,641 127,924 63,962 31,981 95,944 47,972 23,986 11,993 35,980 17,990 8,995 26,986 13,493 40,480 20,240 10,120 5,060 2,530 1,265 3,796 1,898 949 2,848 1,424 712 356 178 89 268 134 67 202 101 304 152 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40 20 10

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