202,264

2³ × 131 × 193

202,264 factors as 2^3 × 131 × 193. Its 16 positive divisors give a proper-divisor sum of 181,856, so this integer is deficient. The Collatz stopping time is 160 steps.

Prime Factor Structure

Factorization String 2^3 × 131 × 193

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 384,120

Proper Divisor Sum 181,856

Digit Sum / Digital Root 16 (Root: 7)

Adjacent Primes #202243 ← → #202277

Radix Representation

Decimal	202264
Binary	110001011000011000 (18 bits)
Octal	0o613030
Hexadecimal	0x31618

Divisor Catalog (16)

1 2 4 8 131 193 262 386 524 772 1,048 1,544 25,283 50,566 101,132 202,264

Collatz Trajectory (160 steps to reach 1)

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

202,264 101,132 50,566 25,283 75,850 37,925 113,776 56,888 28,444 14,222 7,111 21,334 10,667 32,002 16,001 48,004 24,002 12,001 36,004 18,002 9,001 27,004 13,502 6,751 20,254 10,127 30,382 15,191 45,574 22,787 68,362 34,181 102,544 51,272 25,636 12,818 6,409 19,228 9,614 4,807 14,422 7,211 21,634 10,817 32,452 16,226 8,113 24,340 12,170 6,085 18,256 9,128 4,564 2,282 1,141 3,424 1,712 856 428 214

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