λ
Math Directory

5,931,601

13 × 53 × 8609
Deficient Odd Composite

5,931,601 factors as 13 × 53 × 8609. Its 8 positive divisors give a proper-divisor sum of 577,559, so this integer is deficient. The Collatz stopping time is 121 steps.

Prime Factor Structure

Factorization String 13 × 53 × 8609
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 6,509,160
Proper Divisor Sum 577,559
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #5931559 ← → #5931637

Radix Representation

Decimal 5931601
Binary 10110101000001001010001 (23 bits)
Octal 0o26501121
Hexadecimal 0x5A8251

Divisor Catalog (8)

1 13 53 689 8,609 111,917 456,277 5,931,601

Collatz Trajectory (121 steps to reach 1)

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

5,931,601 17,794,804 8,897,402 4,448,701 13,346,104 6,673,052 3,336,526 1,668,263 5,004,790 2,502,395 7,507,186 3,753,593 11,260,780 5,630,390 2,815,195 8,445,586 4,222,793 12,668,380 6,334,190 3,167,095 9,501,286 4,750,643 14,251,930 7,125,965 21,377,896 10,688,948 5,344,474 2,672,237 8,016,712 4,008,356 2,004,178 1,002,089 3,006,268 1,503,134 751,567 2,254,702 1,127,351 3,382,054 1,691,027 5,073,082 2,536,541 7,609,624 3,804,812 1,902,406 951,203 2,853,610 1,426,805 4,280,416 2,140,208 1,070,104 535,052 267,526 133,763 401,290 200,645 601,936 300,968 150,484 75,242 37,621

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