λ
Integer Codex

559,991

559991
Deficient Odd Prime

For 559,991, the 2 positive divisors have a total of 559,992. Removing 559,991 leaves 1, which gives the deficient classification.

Prime Factor Structure

Factorization String 559991
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 559,992
Proper Divisor Sum 1
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #559973 ← → #560017

Radix Representation

Decimal 559991
Binary 10001000101101110111 (20 bits)
Octal 0o2105567
Hexadecimal 0x88B77

Divisor Catalog (2)

Collatz Trajectory (283 steps to reach 1)

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

559,991 1,679,974 839,987 2,519,962 1,259,981 3,779,944 1,889,972 944,986 472,493 1,417,480 708,740 354,370 177,185 531,556 265,778 132,889 398,668 199,334 99,667 299,002 149,501 448,504 224,252 112,126 56,063 168,190 84,095 252,286 126,143 378,430 189,215 567,646 283,823 851,470 425,735 1,277,206 638,603 1,915,810 957,905 2,873,716 1,436,858 718,429 2,155,288 1,077,644 538,822 269,411 808,234 404,117 1,212,352 606,176 303,088 151,544 75,772 37,886 18,943 56,830 28,415 85,246 42,623 127,870

More profiles

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