λ
Harmonic Matrix

7,549,721

7549721
Deficient Odd Prime

7,549,721 has digital root 8. The neighboring primes are 7549697 and 7549741; its proper-divisor sum differs from the starting integer by -7,549,720.

Prime Factor Structure

Factorization String 7549721
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 7,549,722
Proper Divisor Sum 1
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #7549697 ← → #7549741

Radix Representation

Decimal 7549721
Binary 11100110011001100011001 (23 bits)
Octal 0o34631431
Hexadecimal 0x733319

Divisor Catalog (2)

Collatz Trajectory (142 steps to reach 1)

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

7,549,721 22,649,164 11,324,582 5,662,291 16,986,874 8,493,437 25,480,312 12,740,156 6,370,078 3,185,039 9,555,118 4,777,559 14,332,678 7,166,339 21,499,018 10,749,509 32,248,528 16,124,264 8,062,132 4,031,066 2,015,533 6,046,600 3,023,300 1,511,650 755,825 2,267,476 1,133,738 566,869 1,700,608 850,304 425,152 212,576 106,288 53,144 26,572 13,286 6,643 19,930 9,965 29,896 14,948 7,474 3,737 11,212 5,606 2,803 8,410 4,205 12,616 6,308 3,154 1,577 4,732 2,366 1,183 3,550 1,775 5,326 2,663 7,990

More profiles

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