λ
Sequence Observatory

4,752,269

31 × 41 × 3739
Deficient Odd Composite

Starting at 4,752,269, the Collatz iteration reaches 1 after 69 steps. The first transition is 14256808; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 31 × 41 × 3739
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 5,026,560
Proper Divisor Sum 274,291
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #4752263 ← → #4752277

Radix Representation

Decimal 4752269
Binary 10010001000001110001101 (23 bits)
Octal 0o22101615
Hexadecimal 0x48838D

Divisor Catalog (8)

1 31 41 1,271 3,739 115,909 153,299 4,752,269

Collatz Trajectory (69 steps to reach 1)

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

4,752,269 14,256,808 7,128,404 3,564,202 1,782,101 5,346,304 2,673,152 1,336,576 668,288 334,144 167,072 83,536 41,768 20,884 10,442 5,221 15,664 7,832 3,916 1,958 979 2,938 1,469 4,408 2,204 1,102 551 1,654 827 2,482 1,241 3,724 1,862 931 2,794 1,397 4,192 2,096 1,048 524 262 131 394 197 592 296 148 74 37 112 56 28 14 7 22 11 34 17 52 26

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