λ
Harmonic Matrix

6,175,749

3 × 151 × 13633
Deficient Odd Composite

6,175,749 has digital root 3. The neighboring primes are 6175739 and 6175751; its proper-divisor sum differs from the starting integer by -4,062,026.

Prime Factor Structure

Factorization String 3 × 151 × 13633
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 8,289,472
Proper Divisor Sum 2,113,723
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #6175739 ← → #6175751

Radix Representation

Decimal 6175749
Binary 10111100011110000000101 (23 bits)
Octal 0o27436005
Hexadecimal 0x5E3C05

Divisor Catalog (8)

1 3 151 453 13,633 40,899 2,058,583 6,175,749

Collatz Trajectory (51 steps to reach 1)

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

6,175,749 18,527,248 9,263,624 4,631,812 2,315,906 1,157,953 3,473,860 1,736,930 868,465 2,605,396 1,302,698 651,349 1,954,048 977,024 488,512 244,256 122,128 61,064 30,532 15,266 7,633 22,900 11,450 5,725 17,176 8,588 4,294 2,147 6,442 3,221 9,664 4,832 2,416 1,208 604 302 151 454 227 682 341 1,024 512 256 128 64 32 16 8 4 2 1

More profiles

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