λ
Ratio Atlas
Atlas › Integer Profiles › Node 48,801,446
48,801,446
2 × 23 × 37 × 53 × 541
Deficient Even Composite

Prime Factor Structure

Factorization String 2 × 23 × 37 × 53 × 541
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 80,077,248
Proper Divisor Sum 31,275,802
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #48801433 ← → #48801451

Radix Representation

Decimal 48801446
Binary 10111010001010011010100110 (26 bits)
Octal 0o272123246
Hexadecimal 0x2E8A6A6

Divisor Catalog (32)

1 2 23 37 46 53 74 106 541 851 1,082 1,219 1,702 1,961 2,438 3,922 12,443 20,017 24,886 28,673 40,034 45,103 57,346 90,206 460,391 659,479 920,782 1,060,901 1,318,958 2,121,802 24,400,723 48,801,446

Collatz Trajectory (248 steps to reach 1)

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

48,801,446 24,400,723 73,202,170 36,601,085 109,803,256 54,901,628 27,450,814 13,725,407 41,176,222 20,588,111 61,764,334 30,882,167 92,646,502 46,323,251 138,969,754 69,484,877 208,454,632 104,227,316 52,113,658 26,056,829 78,170,488 39,085,244 19,542,622 9,771,311 29,313,934 14,656,967 43,970,902 21,985,451 65,956,354 32,978,177 98,934,532 49,467,266 24,733,633 74,200,900 37,100,450 18,550,225 55,650,676 27,825,338 13,912,669 41,738,008 20,869,004 10,434,502 5,217,251 15,651,754 7,825,877 23,477,632 11,738,816 5,869,408 2,934,704 1,467,352 733,676 366,838 183,419 550,258 275,129 825,388 412,694 206,347 619,042 309,521

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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