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Modular Archive

87,041

87041
Deficient Odd Prime

The decimal integer 87,041 is 10101010000000001 in binary (17 bits), 252001 in octal and 15401 in hexadecimal. Its digit sum is 20.

Prime Factor Structure

Factorization String 87041
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 87,042
Proper Divisor Sum 1
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #87037 ← → #87049

Radix Representation

Decimal 87041
Binary 10101010000000001 (17 bits)
Octal 0o252001
Hexadecimal 0x15401

Divisor Catalog (2)

1 87,041

Collatz Trajectory (71 steps to reach 1)

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

87,041 261,124 130,562 65,281 195,844 97,922 48,961 146,884 73,442 36,721 110,164 55,082 27,541 82,624 41,312 20,656 10,328 5,164 2,582 1,291 3,874 1,937 5,812 2,906 1,453 4,360 2,180 1,090 545 1,636 818 409 1,228 614 307 922 461 1,384 692 346 173 520 260 130 65 196 98 49 148 74 37 112 56 28 14 7 22 11 34 17

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