λ
Sequence Observatory

505,279

505279
Deficient Odd Prime

Starting at 505,279, the Collatz iteration reaches 1 after 120 steps. The first transition is 1515838; the starting value is odd with 2 positive divisors.

Prime Factor Structure

Factorization String 505279
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 505,280
Proper Divisor Sum 1
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #505277 ← → #505283

Radix Representation

Decimal 505279
Binary 1111011010110111111 (19 bits)
Octal 0o1732677
Hexadecimal 0x7B5BF

Divisor Catalog (2)

1 505,279

Collatz Trajectory (120 steps to reach 1)

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

505,279 1,515,838 757,919 2,273,758 1,136,879 3,410,638 1,705,319 5,115,958 2,557,979 7,673,938 3,836,969 11,510,908 5,755,454 2,877,727 8,633,182 4,316,591 12,949,774 6,474,887 19,424,662 9,712,331 29,136,994 14,568,497 43,705,492 21,852,746 10,926,373 32,779,120 16,389,560 8,194,780 4,097,390 2,048,695 6,146,086 3,073,043 9,219,130 4,609,565 13,828,696 6,914,348 3,457,174 1,728,587 5,185,762 2,592,881 7,778,644 3,889,322 1,944,661 5,833,984 2,916,992 1,458,496 729,248 364,624 182,312 91,156 45,578 22,789 68,368 34,184 17,092 8,546 4,273 12,820 6,410 3,205

More profiles

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