808,973

11 × 251 × 293

808,973 factors as 11 × 251 × 293. Its 8 positive divisors give a proper-divisor sum of 80,083, so this integer is deficient. The Collatz stopping time is 206 steps.

Prime Factor Structure

Factorization String 11 × 251 × 293

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 889,056

Proper Divisor Sum 80,083

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #808961 ← → #808981

Radix Representation

Decimal	808973
Binary	11000101100000001101 (20 bits)
Octal	0o3054015
Hexadecimal	0xC580D

Divisor Catalog (8)

1 11 251 293 2,761 3,223 73,543 808,973

Collatz Trajectory (206 steps to reach 1)

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

808,973 2,426,920 1,213,460 606,730 303,365 910,096 455,048 227,524 113,762 56,881 170,644 85,322 42,661 127,984 63,992 31,996 15,998 7,999 23,998 11,999 35,998 17,999 53,998 26,999 80,998 40,499 121,498 60,749 182,248 91,124 45,562 22,781 68,344 34,172 17,086 8,543 25,630 12,815 38,446 19,223 57,670 28,835 86,506 43,253 129,760 64,880 32,440 16,220 8,110 4,055 12,166 6,083 18,250 9,125 27,376 13,688 6,844 3,422 1,711 5,134

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