λ
Sequence Observatory

54,401

54401
Deficient Odd Prime

Starting at 54,401, the Collatz iteration reaches 1 after 78 steps. The first transition is 163204; the starting value is odd with 2 positive divisors.

Prime Factor Structure

Factorization String 54401
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 54,402
Proper Divisor Sum 1
Digit Sum / Digital Root 14 (Root: 5)
Adjacent Primes #54377 ← → #54403

Radix Representation

Decimal 54401
Binary 1101010010000001 (16 bits)
Octal 0o152201
Hexadecimal 0xD481

Divisor Catalog (2)

1 54,401

Collatz Trajectory (78 steps to reach 1)

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

54,401 163,204 81,602 40,801 122,404 61,202 30,601 91,804 45,902 22,951 68,854 34,427 103,282 51,641 154,924 77,462 38,731 116,194 58,097 174,292 87,146 43,573 130,720 65,360 32,680 16,340 8,170 4,085 12,256 6,128 3,064 1,532 766 383 1,150 575 1,726 863 2,590 1,295 3,886 1,943 5,830 2,915 8,746 4,373 13,120 6,560 3,280 1,640 820 410 205 616 308 154 77 232 116 58

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