λ
Harmonic Matrix

9,710,187

3 × 3236729
Deficient Odd Composite

9,710,187 has digital root 6. The neighboring primes are 9710177 and 9710191; its proper-divisor sum differs from the starting integer by -6,473,454.

Prime Factor Structure

Factorization String 3 × 3236729
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 12,946,920
Proper Divisor Sum 3,236,733
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #9710177 ← → #9710191

Radix Representation

Decimal 9710187
Binary 100101000010101001101011 (24 bits)
Octal 0o45025153
Hexadecimal 0x942A6B

Divisor Catalog (4)

1 3 3,236,729 9,710,187

Collatz Trajectory (70 steps to reach 1)

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

9,710,187 29,130,562 14,565,281 43,695,844 21,847,922 10,923,961 32,771,884 16,385,942 8,192,971 24,578,914 12,289,457 36,868,372 18,434,186 9,217,093 27,651,280 13,825,640 6,912,820 3,456,410 1,728,205 5,184,616 2,592,308 1,296,154 648,077 1,944,232 972,116 486,058 243,029 729,088 364,544 182,272 91,136 45,568 22,784 11,392 5,696 2,848 1,424 712 356 178 89 268 134 67 202 101 304 152 76 38 19 58 29 88 44 22 11 34 17 52

More profiles

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