λ
Harmonic Matrix

7,474,538

2 × 3737269
Deficient Even Composite

7,474,538 has digital root 2. The neighboring primes are 7474507 and 7474553; its proper-divisor sum differs from the starting integer by -3,737,266.

Prime Factor Structure

Factorization String 2 × 3737269
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 11,211,810
Proper Divisor Sum 3,737,272
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #7474507 ← → #7474553

Radix Representation

Decimal 7474538
Binary 11100100000110101101010 (23 bits)
Octal 0o34406552
Hexadecimal 0x720D6A

Divisor Catalog (4)

1 2 3,737,269 7,474,538

Collatz Trajectory (173 steps to reach 1)

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

7,474,538 3,737,269 11,211,808 5,605,904 2,802,952 1,401,476 700,738 350,369 1,051,108 525,554 262,777 788,332 394,166 197,083 591,250 295,625 886,876 443,438 221,719 665,158 332,579 997,738 498,869 1,496,608 748,304 374,152 187,076 93,538 46,769 140,308 70,154 35,077 105,232 52,616 26,308 13,154 6,577 19,732 9,866 4,933 14,800 7,400 3,700 1,850 925 2,776 1,388 694 347 1,042 521 1,564 782 391 1,174 587 1,762 881 2,644 1,322

More profiles

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