267,825

3 × 5² × 3571

267,825 factors as 3 × 5^2 × 3571. Its 12 positive divisors give a proper-divisor sum of 175,103, so this integer is deficient. The Collatz stopping time is 119 steps.

Prime Factor Structure

Factorization String 3 × 5^2 × 3571

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 442,928

Proper Divisor Sum 175,103

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #267811 ← → #267829

Radix Representation

Decimal	267825
Binary	1000001011000110001 (19 bits)
Octal	0o1013061
Hexadecimal	0x41631

Divisor Catalog (12)

1 3 5 15 25 75 3,571 10,713 17,855 53,565 89,275 267,825

Collatz Trajectory (119 steps to reach 1)

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

267,825 803,476 401,738 200,869 602,608 301,304 150,652 75,326 37,663 112,990 56,495 169,486 84,743 254,230 127,115 381,346 190,673 572,020 286,010 143,005 429,016 214,508 107,254 53,627 160,882 80,441 241,324 120,662 60,331 180,994 90,497 271,492 135,746 67,873 203,620 101,810 50,905 152,716 76,358 38,179 114,538 57,269 171,808 85,904 42,952 21,476 10,738 5,369 16,108 8,054 4,027 12,082 6,041 18,124 9,062 4,531 13,594 6,797 20,392 10,196

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