λ
Harmonic Matrix

250,418

2 × 7 × 31 × 577
Deficient Even Composite

250,418 has digital root 2. The neighboring primes are 250409 and 250423; its proper-divisor sum differs from the starting integer by -56,932.

Prime Factor Structure

Factorization String 2 × 7 × 31 × 577
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 443,904
Proper Divisor Sum 193,486
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #250409 ← → #250423

Radix Representation

Decimal 250418
Binary 111101001000110010 (18 bits)
Octal 0o751062
Hexadecimal 0x3D232

Divisor Catalog (16)

1 2 7 14 31 62 217 434 577 1,154 4,039 8,078 17,887 35,774 125,209 250,418

Collatz Trajectory (88 steps to reach 1)

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

250,418 125,209 375,628 187,814 93,907 281,722 140,861 422,584 211,292 105,646 52,823 158,470 79,235 237,706 118,853 356,560 178,280 89,140 44,570 22,285 66,856 33,428 16,714 8,357 25,072 12,536 6,268 3,134 1,567 4,702 2,351 7,054 3,527 10,582 5,291 15,874 7,937 23,812 11,906 5,953 17,860 8,930 4,465 13,396 6,698 3,349 10,048 5,024 2,512 1,256 628 314 157 472 236 118 59 178 89 268

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