λ
Harmonic Matrix

9,704,047

9704047
Deficient Odd Prime

9,704,047 has digital root 4. The neighboring primes are 9704039 and 9704069; its proper-divisor sum differs from the starting integer by -9,704,046.

Prime Factor Structure

Factorization String 9704047
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 9,704,048
Proper Divisor Sum 1
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #9704039 ← → #9704069

Radix Representation

Decimal 9704047
Binary 100101000001001001101111 (24 bits)
Octal 0o45011157
Hexadecimal 0x94126F

Divisor Catalog (2)

Collatz Trajectory (251 steps to reach 1)

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

9,704,047 29,112,142 14,556,071 43,668,214 21,834,107 65,502,322 32,751,161 98,253,484 49,126,742 24,563,371 73,690,114 36,845,057 110,535,172 55,267,586 27,633,793 82,901,380 41,450,690 20,725,345 62,176,036 31,088,018 15,544,009 46,632,028 23,316,014 11,658,007 34,974,022 17,487,011 52,461,034 26,230,517 78,691,552 39,345,776 19,672,888 9,836,444 4,918,222 2,459,111 7,377,334 3,688,667 11,066,002 5,533,001 16,599,004 8,299,502 4,149,751 12,449,254 6,224,627 18,673,882 9,336,941 28,010,824 14,005,412 7,002,706 3,501,353 10,504,060 5,252,030 2,626,015 7,878,046 3,939,023 11,817,070 5,908,535 17,725,606 8,862,803 26,588,410 13,294,205

More profiles

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