λ
Ratio Atlas
Atlas › Integer Profiles › Node 3,004,100
3,004,100
22 × 52 × 11 × 2731
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 5^2 × 11 × 2731
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 7,114,128
Proper Divisor Sum 4,110,028
Digit Sum / Digital Root 8 (Root: 8)
Adjacent Primes #3004097 ← → #3004123

Radix Representation

Decimal 3004100
Binary 1011011101011011000100 (22 bits)
Octal 0o13353304
Hexadecimal 0x2DD6C4

Divisor Catalog (36)

1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1,100 2,731 5,462 10,924 13,655 27,310 30,041 54,620 60,082 68,275 120,164 136,550 150,205 273,100 300,410 600,820 751,025 1,502,050 3,004,100

Collatz Trajectory (89 steps to reach 1)

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

3,004,100 1,502,050 751,025 2,253,076 1,126,538 563,269 1,689,808 844,904 422,452 211,226 105,613 316,840 158,420 79,210 39,605 118,816 59,408 29,704 14,852 7,426 3,713 11,140 5,570 2,785 8,356 4,178 2,089 6,268 3,134 1,567 4,702 2,351 7,054 3,527 10,582 5,291 15,874 7,937 23,812 11,906 5,953 17,860 8,930 4,465 13,396 6,698 3,349 10,048 5,024 2,512 1,256 628 314 157 472 236 118 59 178 89

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #7,737,779 Feeder #685,881 Feeder #2,871,188 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
← Previous Integer #3,004,099 Browse Full Index Next Integer #3,004,101 →