λ
Sequence Observatory

1,004,232

23 × 3 × 41843
Abundant Even Composite

Starting at 1,004,232, the Collatz iteration reaches 1 after 165 steps. The first transition is 502116; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3 × 41843
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 2,510,640
Proper Divisor Sum 1,506,408
Digit Sum / Digital Root 12 (Root: 3)
Adjacent Primes #1004221 ← → #1004233

Radix Representation

Decimal 1004232
Binary 11110101001011001000 (20 bits)
Octal 0o3651310
Hexadecimal 0xF52C8

Divisor Catalog (16)

1 2 3 4 6 8 12 24 41,843 83,686 125,529 167,372 251,058 334,744 502,116 1,004,232

Collatz Trajectory (165 steps to reach 1)

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

1,004,232 502,116 251,058 125,529 376,588 188,294 94,147 282,442 141,221 423,664 211,832 105,916 52,958 26,479 79,438 39,719 119,158 59,579 178,738 89,369 268,108 134,054 67,027 201,082 100,541 301,624 150,812 75,406 37,703 113,110 56,555 169,666 84,833 254,500 127,250 63,625 190,876 95,438 47,719 143,158 71,579 214,738 107,369 322,108 161,054 80,527 241,582 120,791 362,374 181,187 543,562 271,781 815,344 407,672 203,836 101,918 50,959 152,878 76,439 229,318

More profiles

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