λ
Harmonic Matrix

9,259,123

9259123
Deficient Odd Prime

9,259,123 has digital root 4. The neighboring primes are 9259121 and 9259163; its proper-divisor sum differs from the starting integer by -9,259,122.

Prime Factor Structure

Factorization String 9259123
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 9,259,124
Proper Divisor Sum 1
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #9259121 ← → #9259163

Radix Representation

Decimal 9259123
Binary 100011010100100001110011 (24 bits)
Octal 0o43244163
Hexadecimal 0x8D4873

Divisor Catalog (2)

Collatz Trajectory (207 steps to reach 1)

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

9,259,123 27,777,370 13,888,685 41,666,056 20,833,028 10,416,514 5,208,257 15,624,772 7,812,386 3,906,193 11,718,580 5,859,290 2,929,645 8,788,936 4,394,468 2,197,234 1,098,617 3,295,852 1,647,926 823,963 2,471,890 1,235,945 3,707,836 1,853,918 926,959 2,780,878 1,390,439 4,171,318 2,085,659 6,256,978 3,128,489 9,385,468 4,692,734 2,346,367 7,039,102 3,519,551 10,558,654 5,279,327 15,837,982 7,918,991 23,756,974 11,878,487 35,635,462 17,817,731 53,453,194 26,726,597 80,179,792 40,089,896 20,044,948 10,022,474 5,011,237 15,033,712 7,516,856 3,758,428 1,879,214 939,607 2,818,822 1,409,411 4,228,234 2,114,117

More profiles

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