λ
Integer Codex
Atlas › Integer Profiles › Node 250,200

250,200

23 × 32 × 52 × 139
Abundant Even Composite

For 250,200, the 72 positive divisors have a total of 846,300. Removing 250,200 leaves 596,100, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 5^2 × 139
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 846,300
Proper Divisor Sum 596,100
Digit Sum / Digital Root 9 (Root: 9)
Adjacent Primes #250199 ← → #250253

Radix Representation

Decimal 250200
Binary 111101000101011000 (18 bits)
Octal 0o750530
Hexadecimal 0x3D158

Divisor Catalog (60 of 72)

1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 139 150 180 200 225 278 300 360 417 450 556 600 695 834 900 1,112 1,251 1,390 1,668 1,800 2,085 2,502 2,780 3,336 3,475 4,170 5,004 5,560 6,255 6,950 8,340 10,008 10,425 12,510

Collatz Trajectory (44 steps to reach 1)

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

250,200 125,100 62,550 31,275 93,826 46,913 140,740 70,370 35,185 105,556 52,778 26,389 79,168 39,584 19,792 9,896 4,948 2,474 1,237 3,712 1,856 928 464 232 116 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

More profiles

8,590,459 1,757,811 7,323,712 784,673 1,594,750 670,289 3,917,059 7,535,142 3,754,597 7,061,380 7,060,456 8,872,450 8,288,663 3,709,735 2,397,093 3,063,711
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