λ
Integer Codex

5,826,313

5826313
Deficient Odd Prime

For 5,826,313, the 2 positive divisors have a total of 5,826,314. Removing 5,826,313 leaves 1, which gives the deficient classification.

Prime Factor Structure

Factorization String 5826313
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 5,826,314
Proper Divisor Sum 1
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #5826311 ← → #5826319

Radix Representation

Decimal 5826313
Binary 10110001110011100001001 (23 bits)
Octal 0o26163411
Hexadecimal 0x58E709

Divisor Catalog (2)

Collatz Trajectory (214 steps to reach 1)

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

5,826,313 17,478,940 8,739,470 4,369,735 13,109,206 6,554,603 19,663,810 9,831,905 29,495,716 14,747,858 7,373,929 22,121,788 11,060,894 5,530,447 16,591,342 8,295,671 24,887,014 12,443,507 37,330,522 18,665,261 55,995,784 27,997,892 13,998,946 6,999,473 20,998,420 10,499,210 5,249,605 15,748,816 7,874,408 3,937,204 1,968,602 984,301 2,952,904 1,476,452 738,226 369,113 1,107,340 553,670 276,835 830,506 415,253 1,245,760 622,880 311,440 155,720 77,860 38,930 19,465 58,396 29,198 14,599 43,798 21,899 65,698 32,849 98,548 49,274 24,637 73,912 36,956

More profiles

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