λ
Ratio Atlas
Atlas › Integer Profiles › Node 4,100,625
4,100,625
38 × 54
Deficient Odd Composite Square (√ = 2025)

Prime Factor Structure

Factorization String 3^8 × 5^4
Distinct Prime Factors 2
Square Status Yes (√4100625 = 2025)
Abundance Measure Deficient

Analytical Properties

Total Divisors 45
Divisor Sum (σ) 7,685,821
Proper Divisor Sum 3,585,196
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #4100611 ← → #4100627

Radix Representation

Decimal 4100625
Binary 1111101001001000010001 (22 bits)
Octal 0o17511021
Hexadecimal 0x3E9211

Divisor Catalog (45)

1 3 5 9 15 25 27 45 75 81 125 135 225 243 375 405 625 675 729 1,125 1,215 1,875 2,025 2,187 3,375 3,645 5,625 6,075 6,561 10,125 10,935 16,875 18,225 30,375 32,805 50,625 54,675 91,125 151,875 164,025 273,375 455,625 820,125 1,366,875 4,100,625

Collatz Trajectory (53 steps to reach 1)

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

4,100,625 12,301,876 6,150,938 3,075,469 9,226,408 4,613,204 2,306,602 1,153,301 3,459,904 1,729,952 864,976 432,488 216,244 108,122 54,061 162,184 81,092 40,546 20,273 60,820 30,410 15,205 45,616 22,808 11,404 5,702 2,851 8,554 4,277 12,832 6,416 3,208 1,604 802 401 1,204 602 301 904 452 226 113 340 170 85 256 128 64 32 16 8 4 2 1

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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