127,448

2³ × 89 × 179

Starting at 127,448, the Collatz iteration reaches 1 after 56 steps. The first transition is 63724; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 89 × 179

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 243,000

Proper Divisor Sum 115,552

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #127447 ← → #127453

Radix Representation

Decimal	127448
Binary	11111000111011000 (17 bits)
Octal	0o370730
Hexadecimal	0x1F1D8

Divisor Catalog (16)

1 2 4 8 89 178 179 356 358 712 716 1,432 15,931 31,862 63,724 127,448

Collatz Trajectory (56 steps to reach 1)

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

127,448 63,724 31,862 15,931 47,794 23,897 71,692 35,846 17,923 53,770 26,885 80,656 40,328 20,164 10,082 5,041 15,124 7,562 3,781 11,344 5,672 2,836 1,418 709 2,128 1,064 532 266 133 400 200 100 50 25 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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