λ
Ratio Atlas
Atlas › Integer Profiles › Node 2,500,192
2,500,192
25 × 23 × 43 × 79
Abundant Even Composite

Prime Factor Structure

Factorization String 2^5 × 23 × 43 × 79
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 5,322,240
Proper Divisor Sum 2,822,048
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #2500187 ← → #2500213

Radix Representation

Decimal 2500192
Binary 1001100010011001100000 (22 bits)
Octal 0o11423140
Hexadecimal 0x262660

Divisor Catalog (48)

1 2 4 8 16 23 32 43 46 79 86 92 158 172 184 316 344 368 632 688 736 989 1,264 1,376 1,817 1,978 2,528 3,397 3,634 3,956 6,794 7,268 7,912 13,588 14,536 15,824 27,176 29,072 31,648 54,352 58,144 78,131 108,704 156,262 312,524 625,048 1,250,096 2,500,192

Collatz Trajectory (112 steps to reach 1)

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

2,500,192 1,250,096 625,048 312,524 156,262 78,131 234,394 117,197 351,592 175,796 87,898 43,949 131,848 65,924 32,962 16,481 49,444 24,722 12,361 37,084 18,542 9,271 27,814 13,907 41,722 20,861 62,584 31,292 15,646 7,823 23,470 11,735 35,206 17,603 52,810 26,405 79,216 39,608 19,804 9,902 4,951 14,854 7,427 22,282 11,141 33,424 16,712 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

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
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