248,000

2⁶ × 5³ × 31

Starting at 248,000, the Collatz iteration reaches 1 after 57 steps. The first transition is 124000; the starting value is even with 56 positive divisors.

Prime Factor Structure

Factorization String 2^6 × 5^3 × 31

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 56

Divisor Sum (σ) 633,984

Proper Divisor Sum 385,984

Digit Sum / Digital Root 14 (Root: 5)

Adjacent Primes #247999 ← → #248021

Radix Representation

Decimal	248000
Binary	111100100011000000 (18 bits)
Octal	0o744300
Hexadecimal	0x3C8C0

Divisor Catalog (56)

1 2 4 5 8 10 16 20 25 31 32 40 50 62 64 80 100 124 125 155 160 200 248 250 310 320 400 496 500 620 775 800 992 1,000 1,240 1,550 1,600 1,984 2,000 2,480 3,100 3,875 4,000 4,960 6,200 7,750 8,000 9,920 12,400 15,500 24,800 31,000 49,600 62,000 124,000 248,000

Collatz Trajectory (57 steps to reach 1)

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

248,000 124,000 62,000 31,000 15,500 7,750 3,875 11,626 5,813 17,440 8,720 4,360 2,180 1,090 545 1,636 818 409 1,228 614 307 922 461 1,384 692 346 173 520 260 130 65 196 98 49 148 74 37 112 56 28 14 7 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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