λ
Sigma Notebook

588,539

72 × 12011
Deficient Odd Composite

588,539 is odd and not a perfect square. Its factorization is 7^2 × 12011 and its 6 divisors sum to 684,684.

Prime Factor Structure

Factorization String 7^2 × 12011
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 684,684
Proper Divisor Sum 96,145
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #588529 ← → #588569

Radix Representation

Decimal 588539
Binary 10001111101011111011 (20 bits)
Octal 0o2175373
Hexadecimal 0x8FAFB

Divisor Catalog (6)

1 7 49 12,011 84,077 588,539

Collatz Trajectory (97 steps to reach 1)

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

588,539 1,765,618 882,809 2,648,428 1,324,214 662,107 1,986,322 993,161 2,979,484 1,489,742 744,871 2,234,614 1,117,307 3,351,922 1,675,961 5,027,884 2,513,942 1,256,971 3,770,914 1,885,457 5,656,372 2,828,186 1,414,093 4,242,280 2,121,140 1,060,570 530,285 1,590,856 795,428 397,714 198,857 596,572 298,286 149,143 447,430 223,715 671,146 335,573 1,006,720 503,360 251,680 125,840 62,920 31,460 15,730 7,865 23,596 11,798 5,899 17,698 8,849 26,548 13,274 6,637 19,912 9,956 4,978 2,489 7,468 3,734

More profiles

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