251,920

2⁴ × 5 × 47 × 67

Starting at 251,920, the Collatz iteration reaches 1 after 119 steps. The first transition is 125960; the starting value is even with 40 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 5 × 47 × 67

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 607,104

Proper Divisor Sum 355,184

Digit Sum / Digital Root 19 (Root: 1)

Adjacent Primes #251917 ← → #251939

Radix Representation

Decimal	251920
Binary	111101100000010000 (18 bits)
Octal	0o754020
Hexadecimal	0x3D810

Divisor Catalog (40)

1 2 4 5 8 10 16 20 40 47 67 80 94 134 188 235 268 335 376 470 536 670 752 940 1,072 1,340 1,880 2,680 3,149 3,760 5,360 6,298 12,596 15,745 25,192 31,490 50,384 62,980 125,960 251,920

Collatz Trajectory (119 steps to reach 1)

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

251,920 125,960 62,980 31,490 15,745 47,236 23,618 11,809 35,428 17,714 8,857 26,572 13,286 6,643 19,930 9,965 29,896 14,948 7,474 3,737 11,212 5,606 2,803 8,410 4,205 12,616 6,308 3,154 1,577 4,732 2,366 1,183 3,550 1,775 5,326 2,663 7,990 3,995 11,986 5,993 17,980 8,990 4,495 13,486 6,743 20,230 10,115 30,346 15,173 45,520 22,760 11,380 5,690 2,845 8,536 4,268 2,134 1,067 3,202 1,601

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