λ
Sequence Observatory

1,734,004

22 × 433501
Deficient Even Composite

Starting at 1,734,004, the Collatz iteration reaches 1 after 189 steps. The first transition is 867002; the starting value is even with 6 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 433501
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 3,034,514
Proper Divisor Sum 1,300,510
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #1733999 ← → #1734011

Radix Representation

Decimal 1734004
Binary 110100111010101110100 (21 bits)
Octal 0o6472564
Hexadecimal 0x1A7574

Divisor Catalog (6)

1 2 4 433,501 867,002 1,734,004

Collatz Trajectory (189 steps to reach 1)

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

1,734,004 867,002 433,501 1,300,504 650,252 325,126 162,563 487,690 243,845 731,536 365,768 182,884 91,442 45,721 137,164 68,582 34,291 102,874 51,437 154,312 77,156 38,578 19,289 57,868 28,934 14,467 43,402 21,701 65,104 32,552 16,276 8,138 4,069 12,208 6,104 3,052 1,526 763 2,290 1,145 3,436 1,718 859 2,578 1,289 3,868 1,934 967 2,902 1,451 4,354 2,177 6,532 3,266 1,633 4,900 2,450 1,225 3,676 1,838

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