λ
Harmonic Matrix

9,125,661

3 × 47 × 61 × 1061
Deficient Odd Composite

9,125,661 has digital root 3. The neighboring primes are 9125659 and 9125671; its proper-divisor sum differs from the starting integer by -5,609,274.

Prime Factor Structure

Factorization String 3 × 47 × 61 × 1061
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 12,642,048
Proper Divisor Sum 3,516,387
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #9125659 ← → #9125671

Radix Representation

Decimal 9125661
Binary 100010110011111100011101 (24 bits)
Octal 0o42637435
Hexadecimal 0x8B3F1D

Divisor Catalog (16)

1 3 47 61 141 183 1,061 2,867 3,183 8,601 49,867 64,721 149,601 194,163 3,041,887 9,125,661

Collatz Trajectory (380 steps to reach 1)

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

9,125,661 27,376,984 13,688,492 6,844,246 3,422,123 10,266,370 5,133,185 15,399,556 7,699,778 3,849,889 11,549,668 5,774,834 2,887,417 8,662,252 4,331,126 2,165,563 6,496,690 3,248,345 9,745,036 4,872,518 2,436,259 7,308,778 3,654,389 10,963,168 5,481,584 2,740,792 1,370,396 685,198 342,599 1,027,798 513,899 1,541,698 770,849 2,312,548 1,156,274 578,137 1,734,412 867,206 433,603 1,300,810 650,405 1,951,216 975,608 487,804 243,902 121,951 365,854 182,927 548,782 274,391 823,174 411,587 1,234,762 617,381 1,852,144 926,072 463,036 231,518 115,759 347,278

More profiles

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