λ
Harmonic Matrix

5,396,327

17 × 317431
Deficient Odd Composite

5,396,327 has digital root 8. The neighboring primes are 5396299 and 5396341; its proper-divisor sum differs from the starting integer by -5,078,878.

Prime Factor Structure

Factorization String 17 × 317431
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 5,713,776
Proper Divisor Sum 317,449
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #5396299 ← → #5396341

Radix Representation

Decimal 5396327
Binary 10100100101011101100111 (23 bits)
Octal 0o24453547
Hexadecimal 0x525767

Divisor Catalog (4)

1 17 317,431 5,396,327

Collatz Trajectory (232 steps to reach 1)

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

5,396,327 16,188,982 8,094,491 24,283,474 12,141,737 36,425,212 18,212,606 9,106,303 27,318,910 13,659,455 40,978,366 20,489,183 61,467,550 30,733,775 92,201,326 46,100,663 138,301,990 69,150,995 207,452,986 103,726,493 311,179,480 155,589,740 77,794,870 38,897,435 116,692,306 58,346,153 175,038,460 87,519,230 43,759,615 131,278,846 65,639,423 196,918,270 98,459,135 295,377,406 147,688,703 443,066,110 221,533,055 664,599,166 332,299,583 996,898,750 498,449,375 1,495,348,126 747,674,063 2,243,022,190 1,121,511,095 3,364,533,286 1,682,266,643 5,046,799,930 2,523,399,965 7,570,199,896 3,785,099,948 1,892,549,974 946,274,987 2,838,824,962 1,419,412,481 4,258,237,444 2,129,118,722 1,064,559,361 3,193,678,084 1,596,839,042

More profiles

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