λ
Prime Ledger

88,093

88093
Deficient Odd Prime

88,093 has the prime decomposition 88093. Its 1 distinct prime factor produce 2 positive divisors.

Prime Factor Structure

Factorization String 88093
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 88,094
Proper Divisor Sum 1
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #88079 ← → #88117

Radix Representation

Decimal 88093
Binary 10101100000011101 (17 bits)
Octal 0o254035
Hexadecimal 0x1581D

Divisor Catalog (2)

1 88,093

Collatz Trajectory (45 steps to reach 1)

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

88,093 264,280 132,140 66,070 33,035 99,106 49,553 148,660 74,330 37,165 111,496 55,748 27,874 13,937 41,812 20,906 10,453 31,360 15,680 7,840 3,920 1,960 980 490 245 736 368 184 92 46 23 70 35 106 53 160 80 40 20 10 5 16 8 4 2 1

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