λ
Integer Codex

2,995,120

24 × 5 × 29 × 1291
Abundant Even Composite

For 2,995,120, the 40 positive divisors have a total of 7,209,360. Removing 2,995,120 leaves 4,214,240, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^4 × 5 × 29 × 1291
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 7,209,360
Proper Divisor Sum 4,214,240
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #2995099 ← → #2995121

Radix Representation

Decimal 2995120
Binary 1011011011001110110000 (22 bits)
Octal 0o13331660
Hexadecimal 0x2DB3B0

Divisor Catalog (40)

1 2 4 5 8 10 16 20 29 40 58 80 116 145 232 290 464 580 1,160 1,291 2,320 2,582 5,164 6,455 10,328 12,910 20,656 25,820 37,439 51,640 74,878 103,280 149,756 187,195 299,512 374,390 599,024 748,780 1,497,560 2,995,120

Collatz Trajectory (89 steps to reach 1)

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

2,995,120 1,497,560 748,780 374,390 187,195 561,586 280,793 842,380 421,190 210,595 631,786 315,893 947,680 473,840 236,920 118,460 59,230 29,615 88,846 44,423 133,270 66,635 199,906 99,953 299,860 149,930 74,965 224,896 112,448 56,224 28,112 14,056 7,028 3,514 1,757 5,272 2,636 1,318 659 1,978 989 2,968 1,484 742 371 1,114 557 1,672 836 418 209 628 314 157 472 236 118 59 178 89

More profiles

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