λ
Ratio Atlas
Atlas › Integer Profiles › Node 45,010,233
45,010,233
32 × 29 × 31 × 5563
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^2 × 29 × 31 × 5563
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 69,438,720
Proper Divisor Sum 24,428,487
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #45010223 ← → #45010261

Radix Representation

Decimal 45010233
Binary 10101011101100110100111001 (26 bits)
Octal 0o253546471
Hexadecimal 0x2AECD39

Divisor Catalog (24)

1 3 9 29 31 87 93 261 279 899 2,697 5,563 8,091 16,689 50,067 161,327 172,453 483,981 517,359 1,451,943 1,552,077 5,001,137 15,003,411 45,010,233

Collatz Trajectory (279 steps to reach 1)

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

45,010,233 135,030,700 67,515,350 33,757,675 101,273,026 50,636,513 151,909,540 75,954,770 37,977,385 113,932,156 56,966,078 28,483,039 85,449,118 42,724,559 128,173,678 64,086,839 192,260,518 96,130,259 288,390,778 144,195,389 432,586,168 216,293,084 108,146,542 54,073,271 162,219,814 81,109,907 243,329,722 121,664,861 364,994,584 182,497,292 91,248,646 45,624,323 136,872,970 68,436,485 205,309,456 102,654,728 51,327,364 25,663,682 12,831,841 38,495,524 19,247,762 9,623,881 28,871,644 14,435,822 7,217,911 21,653,734 10,826,867 32,480,602 16,240,301 48,720,904 24,360,452 12,180,226 6,090,113 18,270,340 9,135,170 4,567,585 13,702,756 6,851,378 3,425,689 10,277,068

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 #1,448,561 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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