λ
Ratio Atlas
Atlas › Integer Profiles › Node 48,469,476
48,469,476
22 × 3 × 11 × 131 × 2803
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3 × 11 × 131 × 2803
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 124,363,008
Proper Divisor Sum 75,893,532
Digit Sum / Digital Root 48 (Root: 3)
Adjacent Primes #48469451 ← → #48469481

Radix Representation

Decimal 48469476
Binary 10111000111001010111100100 (26 bits)
Octal 0o270712744
Hexadecimal 0x2E395E4

Divisor Catalog (48)

1 2 3 4 6 11 12 22 33 44 66 131 132 262 393 524 786 1,441 1,572 2,803 2,882 4,323 5,606 5,764 8,409 8,646 11,212 16,818 17,292 30,833 33,636 61,666 92,499 123,332 184,998 367,193 369,996 734,386 1,101,579 1,468,772 2,203,158 4,039,123 4,406,316 8,078,246 12,117,369 16,156,492 24,234,738 48,469,476

Collatz Trajectory (323 steps to reach 1)

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

48,469,476 24,234,738 12,117,369 36,352,108 18,176,054 9,088,027 27,264,082 13,632,041 40,896,124 20,448,062 10,224,031 30,672,094 15,336,047 46,008,142 23,004,071 69,012,214 34,506,107 103,518,322 51,759,161 155,277,484 77,638,742 38,819,371 116,458,114 58,229,057 174,687,172 87,343,586 43,671,793 131,015,380 65,507,690 32,753,845 98,261,536 49,130,768 24,565,384 12,282,692 6,141,346 3,070,673 9,212,020 4,606,010 2,303,005 6,909,016 3,454,508 1,727,254 863,627 2,590,882 1,295,441 3,886,324 1,943,162 971,581 2,914,744 1,457,372 728,686 364,343 1,093,030 546,515 1,639,546 819,773 2,459,320 1,229,660 614,830 307,415

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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