λ
Sigma Notebook

2,998,100

22 × 52 × 7 × 4283
Abundant Even Composite

2,998,100 is even and not a perfect square. Its factorization is 2^2 × 5^2 × 7 × 4283 and its 36 divisors sum to 7,437,024.

Prime Factor Structure

Factorization String 2^2 × 5^2 × 7 × 4283
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 7,437,024
Proper Divisor Sum 4,438,924
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #2998097 ← → #2998109

Radix Representation

Decimal 2998100
Binary 1011011011111101010100 (22 bits)
Octal 0o13337524
Hexadecimal 0x2DBF54

Divisor Catalog (36)

1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 700 4,283 8,566 17,132 21,415 29,981 42,830 59,962 85,660 107,075 119,924 149,905 214,150 299,810 428,300 599,620 749,525 1,499,050 2,998,100

Collatz Trajectory (89 steps to reach 1)

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

2,998,100 1,499,050 749,525 2,248,576 1,124,288 562,144 281,072 140,536 70,268 35,134 17,567 52,702 26,351 79,054 39,527 118,582 59,291 177,874 88,937 266,812 133,406 66,703 200,110 100,055 300,166 150,083 450,250 225,125 675,376 337,688 168,844 84,422 42,211 126,634 63,317 189,952 94,976 47,488 23,744 11,872 5,936 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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