λ
Sequence Observatory

125,269

125269
Deficient Odd Prime

Starting at 125,269, the Collatz iteration reaches 1 after 56 steps. The first transition is 375808; the starting value is odd with 2 positive divisors.

Prime Factor Structure

Factorization String 125269
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 125,270
Proper Divisor Sum 1
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #125261 ← → #125287

Radix Representation

Decimal 125269
Binary 11110100101010101 (17 bits)
Octal 0o364525
Hexadecimal 0x1E955

Divisor Catalog (2)

1 125,269

Collatz Trajectory (56 steps to reach 1)

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

125,269 375,808 187,904 93,952 46,976 23,488 11,744 5,872 2,936 1,468 734 367 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 13 40 20 10 5 16 8 4 2 1

More profiles

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