λ
Sequence Observatory

1,203,984

24 × 34 × 929
Abundant Even Composite

Starting at 1,203,984, the Collatz iteration reaches 1 after 67 steps. The first transition is 601992; the starting value is even with 50 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 3^4 × 929
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 50
Divisor Sum (σ) 3,488,430
Proper Divisor Sum 2,284,446
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #1203971 ← → #1204003

Radix Representation

Decimal 1203984
Binary 100100101111100010000 (21 bits)
Octal 0o4457420
Hexadecimal 0x125F10

Divisor Catalog (50)

1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 929 1,296 1,858 2,787 3,716 5,574 7,432 8,361 11,148 14,864 16,722 22,296 25,083 33,444 44,592 50,166 66,888 75,249 100,332 133,776 150,498 200,664 300,996 401,328 601,992 1,203,984

Collatz Trajectory (67 steps to reach 1)

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

1,203,984 601,992 300,996 150,498 75,249 225,748 112,874 56,437 169,312 84,656 42,328 21,164 10,582 5,291 15,874 7,937 23,812 11,906 5,953 17,860 8,930 4,465 13,396 6,698 3,349 10,048 5,024 2,512 1,256 628 314 157 472 236 118 59 178 89 268 134 67 202 101 304 152 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40

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