λ
Sequence Observatory

304,037

23 × 13219
Deficient Odd Composite

Starting at 304,037, the Collatz iteration reaches 1 after 189 steps. The first transition is 912112; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 23 × 13219
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 317,280
Proper Divisor Sum 13,243
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #304033 ← → #304039

Radix Representation

Decimal 304037
Binary 1001010001110100101 (19 bits)
Octal 0o1121645
Hexadecimal 0x4A3A5

Divisor Catalog (4)

1 23 13,219 304,037

Collatz Trajectory (189 steps to reach 1)

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

304,037 912,112 456,056 228,028 114,014 57,007 171,022 85,511 256,534 128,267 384,802 192,401 577,204 288,602 144,301 432,904 216,452 108,226 54,113 162,340 81,170 40,585 121,756 60,878 30,439 91,318 45,659 136,978 68,489 205,468 102,734 51,367 154,102 77,051 231,154 115,577 346,732 173,366 86,683 260,050 130,025 390,076 195,038 97,519 292,558 146,279 438,838 219,419 658,258 329,129 987,388 493,694 246,847 740,542 370,271 1,110,814 555,407 1,666,222 833,111 2,499,334

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