λ
Harmonic Matrix

9,164,201

47 × 73 × 2671
Deficient Odd Composite

9,164,201 has digital root 5. The neighboring primes are 9164191 and 9164231; its proper-divisor sum differs from the starting integer by -8,837,458.

Prime Factor Structure

Factorization String 47 × 73 × 2671
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 9,490,944
Proper Divisor Sum 326,743
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #9164191 ← → #9164231

Radix Representation

Decimal 9164201
Binary 100010111101010110101001 (24 bits)
Octal 0o42752651
Hexadecimal 0x8BD5A9

Divisor Catalog (8)

1 47 73 2,671 3,431 125,537 194,983 9,164,201

Collatz Trajectory (225 steps to reach 1)

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

9,164,201 27,492,604 13,746,302 6,873,151 20,619,454 10,309,727 30,929,182 15,464,591 46,393,774 23,196,887 69,590,662 34,795,331 104,385,994 52,192,997 156,578,992 78,289,496 39,144,748 19,572,374 9,786,187 29,358,562 14,679,281 44,037,844 22,018,922 11,009,461 33,028,384 16,514,192 8,257,096 4,128,548 2,064,274 1,032,137 3,096,412 1,548,206 774,103 2,322,310 1,161,155 3,483,466 1,741,733 5,225,200 2,612,600 1,306,300 653,150 326,575 979,726 489,863 1,469,590 734,795 2,204,386 1,102,193 3,306,580 1,653,290 826,645 2,479,936 1,239,968 619,984 309,992 154,996 77,498 38,749 116,248 58,124

More profiles

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