λ
Harmonic Matrix

6,174,097

23 × 268439
Deficient Odd Composite

6,174,097 has digital root 7. The neighboring primes are 6174083 and 6174101; its proper-divisor sum differs from the starting integer by -5,905,634.

Prime Factor Structure

Factorization String 23 × 268439
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 6,442,560
Proper Divisor Sum 268,463
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #6174083 ← → #6174101

Radix Representation

Decimal 6174097
Binary 10111100011010110010001 (23 bits)
Octal 0o27432621
Hexadecimal 0x5E3591

Divisor Catalog (4)

1 23 268,439 6,174,097

Collatz Trajectory (134 steps to reach 1)

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

6,174,097 18,522,292 9,261,146 4,630,573 13,891,720 6,945,860 3,472,930 1,736,465 5,209,396 2,604,698 1,302,349 3,907,048 1,953,524 976,762 488,381 1,465,144 732,572 366,286 183,143 549,430 274,715 824,146 412,073 1,236,220 618,110 309,055 927,166 463,583 1,390,750 695,375 2,086,126 1,043,063 3,129,190 1,564,595 4,693,786 2,346,893 7,040,680 3,520,340 1,760,170 880,085 2,640,256 1,320,128 660,064 330,032 165,016 82,508 41,254 20,627 61,882 30,941 92,824 46,412 23,206 11,603 34,810 17,405 52,216 26,108 13,054 6,527

More profiles

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