λ
Harmonic Matrix

9,706,889

9706889
Deficient Odd Prime

9,706,889 has digital root 2. The neighboring primes are 9706877 and 9706901; its proper-divisor sum differs from the starting integer by -9,706,888.

Prime Factor Structure

Factorization String 9706889
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 9,706,890
Proper Divisor Sum 1
Digit Sum / Digital Root 47 (Root: 2)
Adjacent Primes #9706877 ← → #9706901

Radix Representation

Decimal 9706889
Binary 100101000001110110001001 (24 bits)
Octal 0o45016611
Hexadecimal 0x941D89

Divisor Catalog (2)

Collatz Trajectory (114 steps to reach 1)

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

9,706,889 29,120,668 14,560,334 7,280,167 21,840,502 10,920,251 32,760,754 16,380,377 49,141,132 24,570,566 12,285,283 36,855,850 18,427,925 55,283,776 27,641,888 13,820,944 6,910,472 3,455,236 1,727,618 863,809 2,591,428 1,295,714 647,857 1,943,572 971,786 485,893 1,457,680 728,840 364,420 182,210 91,105 273,316 136,658 68,329 204,988 102,494 51,247 153,742 76,871 230,614 115,307 345,922 172,961 518,884 259,442 129,721 389,164 194,582 97,291 291,874 145,937 437,812 218,906 109,453 328,360 164,180 82,090 41,045 123,136 61,568

More profiles

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