λ
Math Directory

5,325,319

5325319
Deficient Odd Prime

5,325,319 factors as 5325319. Its 2 positive divisors give a proper-divisor sum of 1, so this integer is deficient. The Collatz stopping time is 307 steps.

Prime Factor Structure

Factorization String 5325319
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 5,325,320
Proper Divisor Sum 1
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #5325293 ← → #5325323

Radix Representation

Decimal 5325319
Binary 10100010100001000000111 (23 bits)
Octal 0o24241007
Hexadecimal 0x514207

Divisor Catalog (2)

Collatz Trajectory (307 steps to reach 1)

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

5,325,319 15,975,958 7,987,979 23,963,938 11,981,969 35,945,908 17,972,954 8,986,477 26,959,432 13,479,716 6,739,858 3,369,929 10,109,788 5,054,894 2,527,447 7,582,342 3,791,171 11,373,514 5,686,757 17,060,272 8,530,136 4,265,068 2,132,534 1,066,267 3,198,802 1,599,401 4,798,204 2,399,102 1,199,551 3,598,654 1,799,327 5,397,982 2,698,991 8,096,974 4,048,487 12,145,462 6,072,731 18,218,194 9,109,097 27,327,292 13,663,646 6,831,823 20,495,470 10,247,735 30,743,206 15,371,603 46,114,810 23,057,405 69,172,216 34,586,108 17,293,054 8,646,527 25,939,582 12,969,791 38,909,374 19,454,687 58,364,062 29,182,031 87,546,094 43,773,047

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