λ
Ratio Atlas
Atlas › Integer Profiles › Node 54,854,644
54,854,644
22 × 13 × 331 × 3187
Deficient Even Composite

Prime Factor Structure

Factorization String 2^2 × 13 × 331 × 3187
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 103,724,768
Proper Divisor Sum 48,870,124
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #54854641 ← → #54854647

Radix Representation

Decimal 54854644
Binary 11010001010000001111110100 (26 bits)
Octal 0o321201764
Hexadecimal 0x34503F4

Divisor Catalog (24)

1 2 4 13 26 52 331 662 1,324 3,187 4,303 6,374 8,606 12,748 17,212 41,431 82,862 165,724 1,054,897 2,109,794 4,219,588 13,713,661 27,427,322 54,854,644

Collatz Trajectory (256 steps to reach 1)

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

54,854,644 27,427,322 13,713,661 41,140,984 20,570,492 10,285,246 5,142,623 15,427,870 7,713,935 23,141,806 11,570,903 34,712,710 17,356,355 52,069,066 26,034,533 78,103,600 39,051,800 19,525,900 9,762,950 4,881,475 14,644,426 7,322,213 21,966,640 10,983,320 5,491,660 2,745,830 1,372,915 4,118,746 2,059,373 6,178,120 3,089,060 1,544,530 772,265 2,316,796 1,158,398 579,199 1,737,598 868,799 2,606,398 1,303,199 3,909,598 1,954,799 5,864,398 2,932,199 8,796,598 4,398,299 13,194,898 6,597,449 19,792,348 9,896,174 4,948,087 14,844,262 7,422,131 22,266,394 11,133,197 33,399,592 16,699,796 8,349,898 4,174,949 12,524,848

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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