λ
Sigma Notebook

1,587,933

32 × 53 × 3329
Deficient Odd Composite

1,587,933 is odd and not a perfect square. Its factorization is 3^2 × 53 × 3329 and its 12 divisors sum to 2,337,660.

Prime Factor Structure

Factorization String 3^2 × 53 × 3329
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 2,337,660
Proper Divisor Sum 749,727
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #1587923 ← → #1587959

Radix Representation

Decimal 1587933
Binary 110000011101011011101 (21 bits)
Octal 0o6035335
Hexadecimal 0x183ADD

Divisor Catalog (12)

1 3 9 53 159 477 3,329 9,987 29,961 176,437 529,311 1,587,933

Collatz Trajectory (145 steps to reach 1)

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

1,587,933 4,763,800 2,381,900 1,190,950 595,475 1,786,426 893,213 2,679,640 1,339,820 669,910 334,955 1,004,866 502,433 1,507,300 753,650 376,825 1,130,476 565,238 282,619 847,858 423,929 1,271,788 635,894 317,947 953,842 476,921 1,430,764 715,382 357,691 1,073,074 536,537 1,609,612 804,806 402,403 1,207,210 603,605 1,810,816 905,408 452,704 226,352 113,176 56,588 28,294 14,147 42,442 21,221 63,664 31,832 15,916 7,958 3,979 11,938 5,969 17,908 8,954 4,477 13,432 6,716 3,358 1,679

More profiles

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