λ
Harmonic Matrix

6,749,645

5 × 7 × 192847
Deficient Odd Composite

6,749,645 has digital root 5. The neighboring primes are 6749627 and 6749657; its proper-divisor sum differs from the starting integer by -4,242,586.

Prime Factor Structure

Factorization String 5 × 7 × 192847
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 9,256,704
Proper Divisor Sum 2,507,059
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #6749627 ← → #6749657

Radix Representation

Decimal 6749645
Binary 11001101111110111001101 (23 bits)
Octal 0o31576715
Hexadecimal 0x66FDCD

Divisor Catalog (8)

1 5 7 35 192,847 964,235 1,349,929 6,749,645

Collatz Trajectory (108 steps to reach 1)

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

6,749,645 20,248,936 10,124,468 5,062,234 2,531,117 7,593,352 3,796,676 1,898,338 949,169 2,847,508 1,423,754 711,877 2,135,632 1,067,816 533,908 266,954 133,477 400,432 200,216 100,108 50,054 25,027 75,082 37,541 112,624 56,312 28,156 14,078 7,039 21,118 10,559 31,678 15,839 47,518 23,759 71,278 35,639 106,918 53,459 160,378 80,189 240,568 120,284 60,142 30,071 90,214 45,107 135,322 67,661 202,984 101,492 50,746 25,373 76,120 38,060 19,030 9,515 28,546 14,273 42,820

More profiles

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