λ
Harmonic Matrix

250,168

23 × 31271
Deficient Even Composite

250,168 has digital root 4. The neighboring primes are 250153 and 250169; its proper-divisor sum differs from the starting integer by -31,256.

Prime Factor Structure

Factorization String 2^3 × 31271
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 469,080
Proper Divisor Sum 218,912
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #250153 ← → #250169

Radix Representation

Decimal 250168
Binary 111101000100111000 (18 bits)
Octal 0o750470
Hexadecimal 0x3D138

Divisor Catalog (8)

1 2 4 8 31,271 62,542 125,084 250,168

Collatz Trajectory (137 steps to reach 1)

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

250,168 125,084 62,542 31,271 93,814 46,907 140,722 70,361 211,084 105,542 52,771 158,314 79,157 237,472 118,736 59,368 29,684 14,842 7,421 22,264 11,132 5,566 2,783 8,350 4,175 12,526 6,263 18,790 9,395 28,186 14,093 42,280 21,140 10,570 5,285 15,856 7,928 3,964 1,982 991 2,974 1,487 4,462 2,231 6,694 3,347 10,042 5,021 15,064 7,532 3,766 1,883 5,650 2,825 8,476 4,238 2,119 6,358 3,179 9,538

More profiles

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