λ
Sigma Notebook

6,180,030

2 × 33 × 5 × 47 × 487
Abundant Even Composite

6,180,030 is even and not a perfect square. Its factorization is 2 × 3^3 × 5 × 47 × 487 and its 64 divisors sum to 16,865,280.

Prime Factor Structure

Factorization String 2 × 3^3 × 5 × 47 × 487
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 16,865,280
Proper Divisor Sum 10,685,250
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #6180029 ← → #6180037

Radix Representation

Decimal 6180030
Binary 10111100100110010111110 (23 bits)
Octal 0o27446276
Hexadecimal 0x5E4CBE

Divisor Catalog (60 of 64)

1 2 3 5 6 9 10 15 18 27 30 45 47 54 90 94 135 141 235 270 282 423 470 487 705 846 974 1,269 1,410 1,461 2,115 2,435 2,538 2,922 4,230 4,383 4,870 6,345 7,305 8,766 12,690 13,149 14,610 21,915 22,889 26,298 43,830 45,778 65,745 68,667 114,445 131,490 137,334 206,001 228,890 343,335 412,002 618,003 686,670 1,030,005

Collatz Trajectory (108 steps to reach 1)

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

6,180,030 3,090,015 9,270,046 4,635,023 13,905,070 6,952,535 20,857,606 10,428,803 31,286,410 15,643,205 46,929,616 23,464,808 11,732,404 5,866,202 2,933,101 8,799,304 4,399,652 2,199,826 1,099,913 3,299,740 1,649,870 824,935 2,474,806 1,237,403 3,712,210 1,856,105 5,568,316 2,784,158 1,392,079 4,176,238 2,088,119 6,264,358 3,132,179 9,396,538 4,698,269 14,094,808 7,047,404 3,523,702 1,761,851 5,285,554 2,642,777 7,928,332 3,964,166 1,982,083 5,946,250 2,973,125 8,919,376 4,459,688 2,229,844 1,114,922 557,461 1,672,384 836,192 418,096 209,048 104,524 52,262 26,131 78,394 39,197

More profiles

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