266,829

3 × 29 × 3067

266,829 factors as 3 × 29 × 3067. Its 8 positive divisors give a proper-divisor sum of 101,331, so this integer is deficient. The Collatz stopping time is 119 steps.

Prime Factor Structure

Factorization String 3 × 29 × 3067

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 368,160

Proper Divisor Sum 101,331

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #266821 ← → #266837

Radix Representation

Decimal	266829
Binary	1000001001001001101 (19 bits)
Octal	0o1011115
Hexadecimal	0x4124D

Divisor Catalog (8)

1 3 29 87 3,067 9,201 88,943 266,829

Collatz Trajectory (119 steps to reach 1)

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

266,829 800,488 400,244 200,122 100,061 300,184 150,092 75,046 37,523 112,570 56,285 168,856 84,428 42,214 21,107 63,322 31,661 94,984 47,492 23,746 11,873 35,620 17,810 8,905 26,716 13,358 6,679 20,038 10,019 30,058 15,029 45,088 22,544 11,272 5,636 2,818 1,409 4,228 2,114 1,057 3,172 1,586 793 2,380 1,190 595 1,786 893 2,680 1,340 670 335 1,006 503 1,510 755 2,266 1,133 3,400 1,700

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