λ
Harmonic Matrix

8,743,095

32 × 5 × 97 × 2003
Deficient Odd Composite

8,743,095 has digital root 9. The neighboring primes are 8743087 and 8743099; its proper-divisor sum differs from the starting integer by -2,167,614.

Prime Factor Structure

Factorization String 3^2 × 5 × 97 × 2003
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 15,318,576
Proper Divisor Sum 6,575,481
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #8743087 ← → #8743099

Radix Representation

Decimal 8743095
Binary 100001010110100010110111 (24 bits)
Octal 0o41264267
Hexadecimal 0x8568B7

Divisor Catalog (24)

1 3 5 9 15 45 97 291 485 873 1,455 2,003 4,365 6,009 10,015 18,027 30,045 90,135 194,291 582,873 971,455 1,748,619 2,914,365 8,743,095

Collatz Trajectory (150 steps to reach 1)

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

8,743,095 26,229,286 13,114,643 39,343,930 19,671,965 59,015,896 29,507,948 14,753,974 7,376,987 22,130,962 11,065,481 33,196,444 16,598,222 8,299,111 24,897,334 12,448,667 37,346,002 18,673,001 56,019,004 28,009,502 14,004,751 42,014,254 21,007,127 63,021,382 31,510,691 94,532,074 47,266,037 141,798,112 70,899,056 35,449,528 17,724,764 8,862,382 4,431,191 13,293,574 6,646,787 19,940,362 9,970,181 29,910,544 14,955,272 7,477,636 3,738,818 1,869,409 5,608,228 2,804,114 1,402,057 4,206,172 2,103,086 1,051,543 3,154,630 1,577,315 4,731,946 2,365,973 7,097,920 3,548,960 1,774,480 887,240 443,620 221,810 110,905 332,716

More profiles

← Previous Integer #8,743,094 Browse Full Index Next Integer #8,743,096 →