λ
Harmonic Matrix

9,204,248

23 × 1150531
Deficient Even Composite

9,204,248 has digital root 2. The neighboring primes are 9204203 and 9204257; its proper-divisor sum differs from the starting integer by -1,150,516.

Prime Factor Structure

Factorization String 2^3 × 1150531
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 17,257,980
Proper Divisor Sum 8,053,732
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #9204203 ← → #9204257

Radix Representation

Decimal 9204248
Binary 100011000111001000011000 (24 bits)
Octal 0o43071030
Hexadecimal 0x8C7218

Divisor Catalog (8)

1 2 4 8 1,150,531 2,301,062 4,602,124 9,204,248

Collatz Trajectory (106 steps to reach 1)

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

9,204,248 4,602,124 2,301,062 1,150,531 3,451,594 1,725,797 5,177,392 2,588,696 1,294,348 647,174 323,587 970,762 485,381 1,456,144 728,072 364,036 182,018 91,009 273,028 136,514 68,257 204,772 102,386 51,193 153,580 76,790 38,395 115,186 57,593 172,780 86,390 43,195 129,586 64,793 194,380 97,190 48,595 145,786 72,893 218,680 109,340 54,670 27,335 82,006 41,003 123,010 61,505 184,516 92,258 46,129 138,388 69,194 34,597 103,792 51,896 25,948 12,974 6,487 19,462 9,731

More profiles

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