λ
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Atlas › Integer Profiles › Node 1,220,500

1,220,500

22 × 53 × 2441
Abundant Even Composite

1,220,500 factors as 2^2 × 5^3 × 2441. Its 24 positive divisors give a proper-divisor sum of 1,446,164, so this integer is abundant. The Collatz stopping time is 67 steps.

Prime Factor Structure

Factorization String 2^2 × 5^3 × 2441
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 2,666,664
Proper Divisor Sum 1,446,164
Digit Sum / Digital Root 10 (Root: 1)
Adjacent Primes #1220497 ← → #1220507

Radix Representation

Decimal 1220500
Binary 100101001111110010100 (21 bits)
Octal 0o4517624
Hexadecimal 0x129F94

Divisor Catalog (24)

1 2 4 5 10 20 25 50 100 125 250 500 2,441 4,882 9,764 12,205 24,410 48,820 61,025 122,050 244,100 305,125 610,250 1,220,500

Collatz Trajectory (67 steps to reach 1)

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

1,220,500 610,250 305,125 915,376 457,688 228,844 114,422 57,211 171,634 85,817 257,452 128,726 64,363 193,090 96,545 289,636 144,818 72,409 217,228 108,614 54,307 162,922 81,461 244,384 122,192 61,096 30,548 15,274 7,637 22,912 11,456 5,728 2,864 1,432 716 358 179 538 269 808 404 202 101 304 152 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40

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