λ
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9,609,710

2 × 5 × 11 × 199 × 439
Deficient Even Composite

9,609,710 factors as 2 × 5 × 11 × 199 × 439. Its 32 positive divisors give a proper-divisor sum of 9,398,290, so this integer is deficient. The Collatz stopping time is 238 steps.

Prime Factor Structure

Factorization String 2 × 5 × 11 × 199 × 439
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 19,008,000
Proper Divisor Sum 9,398,290
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #9609697 ← → #9609713

Radix Representation

Decimal 9609710
Binary 100100101010000111101110 (24 bits)
Octal 0o44520756
Hexadecimal 0x92A1EE

Divisor Catalog (32)

1 2 5 10 11 22 55 110 199 398 439 878 995 1,990 2,189 2,195 4,378 4,390 4,829 9,658 10,945 21,890 24,145 48,290 87,361 174,722 436,805 873,610 960,971 1,921,942 4,804,855 9,609,710

Collatz Trajectory (238 steps to reach 1)

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

9,609,710 4,804,855 14,414,566 7,207,283 21,621,850 10,810,925 32,432,776 16,216,388 8,108,194 4,054,097 12,162,292 6,081,146 3,040,573 9,121,720 4,560,860 2,280,430 1,140,215 3,420,646 1,710,323 5,130,970 2,565,485 7,696,456 3,848,228 1,924,114 962,057 2,886,172 1,443,086 721,543 2,164,630 1,082,315 3,246,946 1,623,473 4,870,420 2,435,210 1,217,605 3,652,816 1,826,408 913,204 456,602 228,301 684,904 342,452 171,226 85,613 256,840 128,420 64,210 32,105 96,316 48,158 24,079 72,238 36,119 108,358 54,179 162,538 81,269 243,808 121,904 60,952

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