λ
Match Zalai

97,826

2 × 41 × 1193
Deficient Even Composite

97,826 factors as 2 × 41 × 1193. Its 8 positive divisors give a proper-divisor sum of 52,618, so this integer is deficient. The Collatz stopping time is 159 steps.

Prime Factor Structure

Factorization String 2 × 41 × 1193
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 150,444
Proper Divisor Sum 52,618
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #97813 ← → #97829

Radix Representation

Decimal 97826
Binary 10111111000100010 (17 bits)
Octal 0o277042
Hexadecimal 0x17E22

Divisor Catalog (8)

1 2 41 82 1,193 2,386 48,913 97,826

Collatz Trajectory (159 steps to reach 1)

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

97,826 48,913 146,740 73,370 36,685 110,056 55,028 27,514 13,757 41,272 20,636 10,318 5,159 15,478 7,739 23,218 11,609 34,828 17,414 8,707 26,122 13,061 39,184 19,592 9,796 4,898 2,449 7,348 3,674 1,837 5,512 2,756 1,378 689 2,068 1,034 517 1,552 776 388 194 97 292 146 73 220 110 55 166 83 250 125 376 188 94 47 142 71 214 107

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