261,167

261167

261,167 has digital root 5. The neighboring primes are 261127 and 261169; its proper-divisor sum differs from the starting integer by -261,166.

Prime Factor Structure

Factorization String 261167

Distinct Prime Factors 1

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 2

Divisor Sum (σ) 261,168

Proper Divisor Sum 1

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #261127 ← → #261169

Radix Representation

Decimal	261167
Binary	111111110000101111 (18 bits)
Octal	0o776057
Hexadecimal	0x3FC2F

Divisor Catalog (2)

1 261,167

Collatz Trajectory (132 steps to reach 1)

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

261,167 783,502 391,751 1,175,254 587,627 1,762,882 881,441 2,644,324 1,322,162 661,081 1,983,244 991,622 495,811 1,487,434 743,717 2,231,152 1,115,576 557,788 278,894 139,447 418,342 209,171 627,514 313,757 941,272 470,636 235,318 117,659 352,978 176,489 529,468 264,734 132,367 397,102 198,551 595,654 297,827 893,482 446,741 1,340,224 670,112 335,056 167,528 83,764 41,882 20,941 62,824 31,412 15,706 7,853 23,560 11,780 5,890 2,945 8,836 4,418 2,209 6,628 3,314 1,657

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