λ
Harmonic Matrix

5,276,097

34 × 53 × 1229
Deficient Odd Composite

5,276,097 has digital root 9. The neighboring primes are 5276093 and 5276101; its proper-divisor sum differs from the starting integer by -2,515,374.

Prime Factor Structure

Factorization String 3^4 × 53 × 1229
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 8,036,820
Proper Divisor Sum 2,760,723
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #5276093 ← → #5276101

Radix Representation

Decimal 5276097
Binary 10100001000000111000001 (23 bits)
Octal 0o24100701
Hexadecimal 0x5081C1

Divisor Catalog (20)

1 3 9 27 53 81 159 477 1,229 1,431 3,687 4,293 11,061 33,183 65,137 99,549 195,411 586,233 1,758,699 5,276,097

Collatz Trajectory (126 steps to reach 1)

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

5,276,097 15,828,292 7,914,146 3,957,073 11,871,220 5,935,610 2,967,805 8,903,416 4,451,708 2,225,854 1,112,927 3,338,782 1,669,391 5,008,174 2,504,087 7,512,262 3,756,131 11,268,394 5,634,197 16,902,592 8,451,296 4,225,648 2,112,824 1,056,412 528,206 264,103 792,310 396,155 1,188,466 594,233 1,782,700 891,350 445,675 1,337,026 668,513 2,005,540 1,002,770 501,385 1,504,156 752,078 376,039 1,128,118 564,059 1,692,178 846,089 2,538,268 1,269,134 634,567 1,903,702 951,851 2,855,554 1,427,777 4,283,332 2,141,666 1,070,833 3,212,500 1,606,250 803,125 2,409,376 1,204,688

More profiles

← Previous Integer #5,276,096 Browse Full Index Next Integer #5,276,098 →