λ
Ratio Atlas

2,587,993

2587993
Deficient Odd Prime

2,587,993 factors as 2587993. Its 2 positive divisors give a proper-divisor sum of 1, so this integer is deficient. The Collatz stopping time is 94 steps.

Prime Factor Structure

Factorization String 2587993
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 2,587,994
Proper Divisor Sum 1
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #2587979 ← → #2587997

Radix Representation

Decimal 2587993
Binary 1001110111110101011001 (22 bits)
Octal 0o11676531
Hexadecimal 0x277D59

Divisor Catalog (2)

1 2,587,993

Collatz Trajectory (94 steps to reach 1)

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

2,587,993 7,763,980 3,881,990 1,940,995 5,822,986 2,911,493 8,734,480 4,367,240 2,183,620 1,091,810 545,905 1,637,716 818,858 409,429 1,228,288 614,144 307,072 153,536 76,768 38,384 19,192 9,596 4,798 2,399 7,198 3,599 10,798 5,399 16,198 8,099 24,298 12,149 36,448 18,224 9,112 4,556 2,278 1,139 3,418 1,709 5,128 2,564 1,282 641 1,924 962 481 1,444 722 361 1,084 542 271 814 407 1,222 611 1,834 917 2,752

More profiles

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