λ
Harmonic Matrix

7,009,477

7009477
Deficient Odd Prime

7,009,477 has digital root 7. The neighboring primes are 7009469 and 7009481; its proper-divisor sum differs from the starting integer by -7,009,476.

Prime Factor Structure

Factorization String 7009477
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 7,009,478
Proper Divisor Sum 1
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #7009469 ← → #7009481

Radix Representation

Decimal 7009477
Binary 11010101111010011000101 (23 bits)
Octal 0o32572305
Hexadecimal 0x6AF4C5

Divisor Catalog (2)

Collatz Trajectory (222 steps to reach 1)

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

7,009,477 21,028,432 10,514,216 5,257,108 2,628,554 1,314,277 3,942,832 1,971,416 985,708 492,854 246,427 739,282 369,641 1,108,924 554,462 277,231 831,694 415,847 1,247,542 623,771 1,871,314 935,657 2,806,972 1,403,486 701,743 2,105,230 1,052,615 3,157,846 1,578,923 4,736,770 2,368,385 7,105,156 3,552,578 1,776,289 5,328,868 2,664,434 1,332,217 3,996,652 1,998,326 999,163 2,997,490 1,498,745 4,496,236 2,248,118 1,124,059 3,372,178 1,686,089 5,058,268 2,529,134 1,264,567 3,793,702 1,896,851 5,690,554 2,845,277 8,535,832 4,267,916 2,133,958 1,066,979 3,200,938 1,600,469

More profiles

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