λ
Sequence Observatory

4,193,203

7 × 17 × 167 × 211
Deficient Odd Composite

Starting at 4,193,203, the Collatz iteration reaches 1 after 74 steps. The first transition is 12579610; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 7 × 17 × 167 × 211
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 5,128,704
Proper Divisor Sum 935,501
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #4193191 ← → #4193209

Radix Representation

Decimal 4193203
Binary 1111111111101110110011 (22 bits)
Octal 0o17775663
Hexadecimal 0x3FFBB3

Divisor Catalog (16)

1 7 17 119 167 211 1,169 1,477 2,839 3,587 19,873 25,109 35,237 246,659 599,029 4,193,203

Collatz Trajectory (74 steps to reach 1)

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

4,193,203 12,579,610 6,289,805 18,869,416 9,434,708 4,717,354 2,358,677 7,076,032 3,538,016 1,769,008 884,504 442,252 221,126 110,563 331,690 165,845 497,536 248,768 124,384 62,192 31,096 15,548 7,774 3,887 11,662 5,831 17,494 8,747 26,242 13,121 39,364 19,682 9,841 29,524 14,762 7,381 22,144 11,072 5,536 2,768 1,384 692 346 173 520 260 130 65 196 98 49 148 74 37 112 56 28 14 7 22

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