261,993

3 × 23 × 3797

261,993 has digital root 3. The neighboring primes are 261983 and 262007; its proper-divisor sum differs from the starting integer by -159,378.

Prime Factor Structure

Factorization String 3 × 23 × 3797

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 364,608

Proper Divisor Sum 102,615

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #261983 ← → #262007

Radix Representation

Decimal	261993
Binary	111111111101101001 (18 bits)
Octal	0o777551
Hexadecimal	0x3FF69

Divisor Catalog (8)

1 3 23 69 3,797 11,391 87,331 261,993

Collatz Trajectory (132 steps to reach 1)

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

261,993 785,980 392,990 196,495 589,486 294,743 884,230 442,115 1,326,346 663,173 1,989,520 994,760 497,380 248,690 124,345 373,036 186,518 93,259 279,778 139,889 419,668 209,834 104,917 314,752 157,376 78,688 39,344 19,672 9,836 4,918 2,459 7,378 3,689 11,068 5,534 2,767 8,302 4,151 12,454 6,227 18,682 9,341 28,024 14,012 7,006 3,503 10,510 5,255 15,766 7,883 23,650 11,825 35,476 17,738 8,869 26,608 13,304 6,652 3,326 1,663

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