λ
Sigma Notebook

580,015

5 × 311 × 373
Deficient Odd Composite

580,015 is odd and not a perfect square. Its factorization is 5 × 311 × 373 and its 8 divisors sum to 700,128.

Prime Factor Structure

Factorization String 5 × 311 × 373
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 700,128
Proper Divisor Sum 120,113
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #580001 ← → #580031

Radix Representation

Decimal 580015
Binary 10001101100110101111 (20 bits)
Octal 0o2154657
Hexadecimal 0x8D9AF

Divisor Catalog (8)

1 5 311 373 1,555 1,865 116,003 580,015

Collatz Trajectory (177 steps to reach 1)

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

580,015 1,740,046 870,023 2,610,070 1,305,035 3,915,106 1,957,553 5,872,660 2,936,330 1,468,165 4,404,496 2,202,248 1,101,124 550,562 275,281 825,844 412,922 206,461 619,384 309,692 154,846 77,423 232,270 116,135 348,406 174,203 522,610 261,305 783,916 391,958 195,979 587,938 293,969 881,908 440,954 220,477 661,432 330,716 165,358 82,679 248,038 124,019 372,058 186,029 558,088 279,044 139,522 69,761 209,284 104,642 52,321 156,964 78,482 39,241 117,724 58,862 29,431 88,294 44,147 132,442

More profiles

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