λ
Ratio Atlas
Atlas › Integer Profiles › Node 25,001,025
25,001,025
3 × 52 × 72 × 6803
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 5^2 × 7^2 × 6803
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 48,090,672
Proper Divisor Sum 23,089,647
Digit Sum / Digital Root 15 (Root: 6)
Adjacent Primes #25000991 ← → #25001029

Radix Representation

Decimal 25001025
Binary 1011111010111110001000001 (25 bits)
Octal 0o137276101
Hexadecimal 0x17D7C41

Divisor Catalog (36)

1 3 5 7 15 21 25 35 49 75 105 147 175 245 525 735 1,225 3,675 6,803 20,409 34,015 47,621 102,045 142,863 170,075 238,105 333,347 510,225 714,315 1,000,041 1,190,525 1,666,735 3,571,575 5,000,205 8,333,675 25,001,025

Collatz Trajectory (304 steps to reach 1)

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

25,001,025 75,003,076 37,501,538 18,750,769 56,252,308 28,126,154 14,063,077 42,189,232 21,094,616 10,547,308 5,273,654 2,636,827 7,910,482 3,955,241 11,865,724 5,932,862 2,966,431 8,899,294 4,449,647 13,348,942 6,674,471 20,023,414 10,011,707 30,035,122 15,017,561 45,052,684 22,526,342 11,263,171 33,789,514 16,894,757 50,684,272 25,342,136 12,671,068 6,335,534 3,167,767 9,503,302 4,751,651 14,254,954 7,127,477 21,382,432 10,691,216 5,345,608 2,672,804 1,336,402 668,201 2,004,604 1,002,302 501,151 1,503,454 751,727 2,255,182 1,127,591 3,382,774 1,691,387 5,074,162 2,537,081 7,611,244 3,805,622 1,902,811 5,708,434

Active Feeder Network

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

Feeder #3,913,373 Feeder #8,365,252 Feeder #6,970,568 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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