λ
Harmonic Matrix

3,792,589

3792589
Deficient Odd Prime

3,792,589 has digital root 7. The neighboring primes are 3792577 and 3792599; its proper-divisor sum differs from the starting integer by -3,792,588.

Prime Factor Structure

Factorization String 3792589
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 3,792,590
Proper Divisor Sum 1
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #3792577 ← → #3792599

Radix Representation

Decimal 3792589
Binary 1110011101111011001101 (22 bits)
Octal 0o16357315
Hexadecimal 0x39DECD

Divisor Catalog (2)

Collatz Trajectory (141 steps to reach 1)

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

3,792,589 11,377,768 5,688,884 2,844,442 1,422,221 4,266,664 2,133,332 1,066,666 533,333 1,600,000 800,000 400,000 200,000 100,000 50,000 25,000 12,500 6,250 3,125 9,376 4,688 2,344 1,172 586 293 880 440 220 110 55 166 83 250 125 376 188 94 47 142 71 214 107 322 161 484 242 121 364 182 91 274 137 412 206 103 310 155 466 233 700

More profiles

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