λ
Prime Ledger

2,588,965

5 × 31 × 16703
Deficient Odd Composite

2,588,965 has the prime decomposition 5 × 31 × 16703. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 5 × 31 × 16703
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 3,207,168
Proper Divisor Sum 618,203
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #2588923 ← → #2588969

Radix Representation

Decimal 2588965
Binary 1001111000000100100101 (22 bits)
Octal 0o11700445
Hexadecimal 0x278125

Divisor Catalog (8)

1 5 31 155 16,703 83,515 517,793 2,588,965

Collatz Trajectory (99 steps to reach 1)

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

2,588,965 7,766,896 3,883,448 1,941,724 970,862 485,431 1,456,294 728,147 2,184,442 1,092,221 3,276,664 1,638,332 819,166 409,583 1,228,750 614,375 1,843,126 921,563 2,764,690 1,382,345 4,147,036 2,073,518 1,036,759 3,110,278 1,555,139 4,665,418 2,332,709 6,998,128 3,499,064 1,749,532 874,766 437,383 1,312,150 656,075 1,968,226 984,113 2,952,340 1,476,170 738,085 2,214,256 1,107,128 553,564 276,782 138,391 415,174 207,587 622,762 311,381 934,144 467,072 233,536 116,768 58,384 29,192 14,596 7,298 3,649 10,948 5,474 2,737

More profiles

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