λ
Prime Ledger

7,065,351

32 × 67 × 11717
Deficient Odd Composite

7,065,351 has the prime decomposition 3^2 × 67 × 11717. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 67 × 11717
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 10,358,712
Proper Divisor Sum 3,293,361
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #7065343 ← → #7065367

Radix Representation

Decimal 7065351
Binary 11010111100111100000111 (23 bits)
Octal 0o32747407
Hexadecimal 0x6BCF07

Divisor Catalog (12)

1 3 9 67 201 603 11,717 35,151 105,453 785,039 2,355,117 7,065,351

Collatz Trajectory (129 steps to reach 1)

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

7,065,351 21,196,054 10,598,027 31,794,082 15,897,041 47,691,124 23,845,562 11,922,781 35,768,344 17,884,172 8,942,086 4,471,043 13,413,130 6,706,565 20,119,696 10,059,848 5,029,924 2,514,962 1,257,481 3,772,444 1,886,222 943,111 2,829,334 1,414,667 4,244,002 2,122,001 6,366,004 3,183,002 1,591,501 4,774,504 2,387,252 1,193,626 596,813 1,790,440 895,220 447,610 223,805 671,416 335,708 167,854 83,927 251,782 125,891 377,674 188,837 566,512 283,256 141,628 70,814 35,407 106,222 53,111 159,334 79,667 239,002 119,501 358,504 179,252 89,626 44,813

More profiles

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