λ
Sigma Notebook

1,215,420

22 × 3 × 5 × 47 × 431
Abundant Even Composite

1,215,420 is even and not a perfect square. Its factorization is 2^2 × 3 × 5 × 47 × 431 and its 48 divisors sum to 3,483,648.

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 47 × 431
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 3,483,648
Proper Divisor Sum 2,268,228
Digit Sum / Digital Root 15 (Root: 6)
Adjacent Primes #1215407 ← → #1215421

Radix Representation

Decimal 1215420
Binary 100101000101110111100 (21 bits)
Octal 0o4505674
Hexadecimal 0x128BBC

Divisor Catalog (48)

1 2 3 4 5 6 10 12 15 20 30 47 60 94 141 188 235 282 431 470 564 705 862 940 1,293 1,410 1,724 2,155 2,586 2,820 4,310 5,172 6,465 8,620 12,930 20,257 25,860 40,514 60,771 81,028 101,285 121,542 202,570 243,084 303,855 405,140 607,710 1,215,420

Collatz Trajectory (191 steps to reach 1)

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

1,215,420 607,710 303,855 911,566 455,783 1,367,350 683,675 2,051,026 1,025,513 3,076,540 1,538,270 769,135 2,307,406 1,153,703 3,461,110 1,730,555 5,191,666 2,595,833 7,787,500 3,893,750 1,946,875 5,840,626 2,920,313 8,760,940 4,380,470 2,190,235 6,570,706 3,285,353 9,856,060 4,928,030 2,464,015 7,392,046 3,696,023 11,088,070 5,544,035 16,632,106 8,316,053 24,948,160 12,474,080 6,237,040 3,118,520 1,559,260 779,630 389,815 1,169,446 584,723 1,754,170 877,085 2,631,256 1,315,628 657,814 328,907 986,722 493,361 1,480,084 740,042 370,021 1,110,064 555,032 277,516

More profiles

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