λ
Math Directory

7,416,559

7416559
Deficient Odd Prime

7,416,559 factors as 7416559. Its 2 positive divisors give a proper-divisor sum of 1, so this integer is deficient. The Collatz stopping time is 217 steps.

Prime Factor Structure

Factorization String 7416559
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 7,416,560
Proper Divisor Sum 1
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #7416499 ← → #7416571

Radix Representation

Decimal 7416559
Binary 11100010010101011101111 (23 bits)
Octal 0o34225357
Hexadecimal 0x712AEF

Divisor Catalog (2)

Collatz Trajectory (217 steps to reach 1)

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

7,416,559 22,249,678 11,124,839 33,374,518 16,687,259 50,061,778 25,030,889 75,092,668 37,546,334 18,773,167 56,319,502 28,159,751 84,479,254 42,239,627 126,718,882 63,359,441 190,078,324 95,039,162 47,519,581 142,558,744 71,279,372 35,639,686 17,819,843 53,459,530 26,729,765 80,189,296 40,094,648 20,047,324 10,023,662 5,011,831 15,035,494 7,517,747 22,553,242 11,276,621 33,829,864 16,914,932 8,457,466 4,228,733 12,686,200 6,343,100 3,171,550 1,585,775 4,757,326 2,378,663 7,135,990 3,567,995 10,703,986 5,351,993 16,055,980 8,027,990 4,013,995 12,041,986 6,020,993 18,062,980 9,031,490 4,515,745 13,547,236 6,773,618 3,386,809 10,160,428

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