λ
Harmonic Matrix

255,997

7 × 36571
Deficient Odd Composite

255,997 has digital root 1. The neighboring primes are 255989 and 256019; its proper-divisor sum differs from the starting integer by -219,418.

Prime Factor Structure

Factorization String 7 × 36571
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 292,576
Proper Divisor Sum 36,579
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #255989 ← → #256019

Radix Representation

Decimal 255997
Binary 111110011111111101 (18 bits)
Octal 0o763775
Hexadecimal 0x3E7FD

Divisor Catalog (4)

1 7 36,571 255,997

Collatz Trajectory (106 steps to reach 1)

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

255,997 767,992 383,996 191,998 95,999 287,998 143,999 431,998 215,999 647,998 323,999 971,998 485,999 1,457,998 728,999 2,186,998 1,093,499 3,280,498 1,640,249 4,920,748 2,460,374 1,230,187 3,690,562 1,845,281 5,535,844 2,767,922 1,383,961 4,151,884 2,075,942 1,037,971 3,113,914 1,556,957 4,670,872 2,335,436 1,167,718 583,859 1,751,578 875,789 2,627,368 1,313,684 656,842 328,421 985,264 492,632 246,316 123,158 61,579 184,738 92,369 277,108 138,554 69,277 207,832 103,916 51,958 25,979 77,938 38,969 116,908 58,454

More profiles

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