λ
Sequence Observatory

125,456

24 × 7841
Deficient Even Composite

Starting at 125,456, the Collatz iteration reaches 1 after 56 steps. The first transition is 62728; the starting value is even with 10 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 7841
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 10
Divisor Sum (σ) 243,102
Proper Divisor Sum 117,646
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #125453 ← → #125471

Radix Representation

Decimal 125456
Binary 11110101000010000 (17 bits)
Octal 0o365020
Hexadecimal 0x1EA10

Divisor Catalog (10)

1 2 4 8 16 7,841 15,682 31,364 62,728 125,456

Collatz Trajectory (56 steps to reach 1)

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

125,456 62,728 31,364 15,682 7,841 23,524 11,762 5,881 17,644 8,822 4,411 13,234 6,617 19,852 9,926 4,963 14,890 7,445 22,336 11,168 5,584 2,792 1,396 698 349 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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