261,772

2² × 7 × 9349

261,772 is even and not a perfect square. Its factorization is 2^2 × 7 × 9349 and its 12 divisors sum to 523,600.

Prime Factor Structure

Factorization String 2^2 × 7 × 9349

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 523,600

Proper Divisor Sum 261,828

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #261761 ← → #261773

Radix Representation

Decimal	261772
Binary	111111111010001100 (18 bits)
Octal	0o777214
Hexadecimal	0x3FE8C

Divisor Catalog (12)

1 2 4 7 14 28 9,349 18,698 37,396 65,443 130,886 261,772

Collatz Trajectory (70 steps to reach 1)

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

261,772 130,886 65,443 196,330 98,165 294,496 147,248 73,624 36,812 18,406 9,203 27,610 13,805 41,416 20,708 10,354 5,177 15,532 7,766 3,883 11,650 5,825 17,476 8,738 4,369 13,108 6,554 3,277 9,832 4,916 2,458 1,229 3,688 1,844 922 461 1,384 692 346 173 520 260 130 65 196 98 49 148 74 37 112 56 28 14 7 22 11 34 17 52

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