λ
Harmonic Matrix

8,098,141

8098141
Deficient Odd Prime

8,098,141 has digital root 4. The neighboring primes are 8098133 and 8098157; its proper-divisor sum differs from the starting integer by -8,098,140.

Prime Factor Structure

Factorization String 8098141
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 8,098,142
Proper Divisor Sum 1
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #8098133 ← → #8098157

Radix Representation

Decimal 8098141
Binary 11110111001000101011101 (23 bits)
Octal 0o36710535
Hexadecimal 0x7B915D

Divisor Catalog (2)

Collatz Trajectory (186 steps to reach 1)

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

8,098,141 24,294,424 12,147,212 6,073,606 3,036,803 9,110,410 4,555,205 13,665,616 6,832,808 3,416,404 1,708,202 854,101 2,562,304 1,281,152 640,576 320,288 160,144 80,072 40,036 20,018 10,009 30,028 15,014 7,507 22,522 11,261 33,784 16,892 8,446 4,223 12,670 6,335 19,006 9,503 28,510 14,255 42,766 21,383 64,150 32,075 96,226 48,113 144,340 72,170 36,085 108,256 54,128 27,064 13,532 6,766 3,383 10,150 5,075 15,226 7,613 22,840 11,420 5,710 2,855 8,566

More profiles

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