λ
Ratio Atlas
Atlas › Integer Profiles › Node 4,960,100
4,960,100
22 × 52 × 193 × 257
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 5^2 × 193 × 257
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 10,861,284
Proper Divisor Sum 5,901,184
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #4960097 ← → #4960117

Radix Representation

Decimal 4960100
Binary 10010111010111101100100 (23 bits)
Octal 0o22727544
Hexadecimal 0x4BAF64

Divisor Catalog (36)

1 2 4 5 10 20 25 50 100 193 257 386 514 772 965 1,028 1,285 1,930 2,570 3,860 4,825 5,140 6,425 9,650 12,850 19,300 25,700 49,601 99,202 198,404 248,005 496,010 992,020 1,240,025 2,480,050 4,960,100

Collatz Trajectory (175 steps to reach 1)

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

4,960,100 2,480,050 1,240,025 3,720,076 1,860,038 930,019 2,790,058 1,395,029 4,185,088 2,092,544 1,046,272 523,136 261,568 130,784 65,392 32,696 16,348 8,174 4,087 12,262 6,131 18,394 9,197 27,592 13,796 6,898 3,449 10,348 5,174 2,587 7,762 3,881 11,644 5,822 2,911 8,734 4,367 13,102 6,551 19,654 9,827 29,482 14,741 44,224 22,112 11,056 5,528 2,764 1,382 691 2,074 1,037 3,112 1,556 778 389 1,168 584 292 146

Active Feeder Network

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

Feeder #1,448,561 Feeder #6,970,568 Feeder #2,947,453 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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