λ
Sequence Observatory

43,649

43649
Deficient Odd Prime

Starting at 43,649, the Collatz iteration reaches 1 after 75 steps. The first transition is 130948; the starting value is odd with 2 positive divisors.

Prime Factor Structure

Factorization String 43649
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 43,650
Proper Divisor Sum 1
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #43633 ← → #43651

Radix Representation

Decimal 43649
Binary 1010101010000001 (16 bits)
Octal 0o125201
Hexadecimal 0xAA81

Divisor Catalog (2)

1 43,649

Collatz Trajectory (75 steps to reach 1)

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

43,649 130,948 65,474 32,737 98,212 49,106 24,553 73,660 36,830 18,415 55,246 27,623 82,870 41,435 124,306 62,153 186,460 93,230 46,615 139,846 69,923 209,770 104,885 314,656 157,328 78,664 39,332 19,666 9,833 29,500 14,750 7,375 22,126 11,063 33,190 16,595 49,786 24,893 74,680 37,340 18,670 9,335 28,006 14,003 42,010 21,005 63,016 31,508 15,754 7,877 23,632 11,816 5,908 2,954 1,477 4,432 2,216 1,108 554 277

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