λ
Sigma Notebook

2,770,380

22 × 32 × 5 × 15391
Abundant Even Composite

2,770,380 is even and not a perfect square. Its factorization is 2^2 × 3^2 × 5 × 15391 and its 36 divisors sum to 8,404,032.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 5 × 15391
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 8,404,032
Proper Divisor Sum 5,633,652
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #2770367 ← → #2770381

Radix Representation

Decimal 2770380
Binary 1010100100010111001100 (22 bits)
Octal 0o12442714
Hexadecimal 0x2A45CC

Divisor Catalog (36)

1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 15,391 30,782 46,173 61,564 76,955 92,346 138,519 153,910 184,692 230,865 277,038 307,820 461,730 554,076 692,595 923,460 1,385,190 2,770,380

Collatz Trajectory (156 steps to reach 1)

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

2,770,380 1,385,190 692,595 2,077,786 1,038,893 3,116,680 1,558,340 779,170 389,585 1,168,756 584,378 292,189 876,568 438,284 219,142 109,571 328,714 164,357 493,072 246,536 123,268 61,634 30,817 92,452 46,226 23,113 69,340 34,670 17,335 52,006 26,003 78,010 39,005 117,016 58,508 29,254 14,627 43,882 21,941 65,824 32,912 16,456 8,228 4,114 2,057 6,172 3,086 1,543 4,630 2,315 6,946 3,473 10,420 5,210 2,605 7,816 3,908 1,954 977 2,932

More profiles

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