λ
Harmonic Matrix

6,273,197

7 × 131 × 6841
Deficient Odd Composite

6,273,197 has digital root 8. The neighboring primes are 6273167 and 6273199; its proper-divisor sum differs from the starting integer by -5,321,242.

Prime Factor Structure

Factorization String 7 × 131 × 6841
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 7,225,152
Proper Divisor Sum 951,955
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #6273167 ← → #6273199

Radix Representation

Decimal 6273197
Binary 10111111011100010101101 (23 bits)
Octal 0o27734255
Hexadecimal 0x5FB8AD

Divisor Catalog (8)

1 7 131 917 6,841 47,887 896,171 6,273,197

Collatz Trajectory (165 steps to reach 1)

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

6,273,197 18,819,592 9,409,796 4,704,898 2,352,449 7,057,348 3,528,674 1,764,337 5,293,012 2,646,506 1,323,253 3,969,760 1,984,880 992,440 496,220 248,110 124,055 372,166 186,083 558,250 279,125 837,376 418,688 209,344 104,672 52,336 26,168 13,084 6,542 3,271 9,814 4,907 14,722 7,361 22,084 11,042 5,521 16,564 8,282 4,141 12,424 6,212 3,106 1,553 4,660 2,330 1,165 3,496 1,748 874 437 1,312 656 328 164 82 41 124 62 31

More profiles

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