λ
Harmonic Matrix

6,138,238

2 × 3069119
Deficient Even Composite

6,138,238 has digital root 4. The neighboring primes are 6138211 and 6138239; its proper-divisor sum differs from the starting integer by -3,069,116.

Prime Factor Structure

Factorization String 2 × 3069119
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 9,207,360
Proper Divisor Sum 3,069,122
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #6138211 ← → #6138239

Radix Representation

Decimal 6138238
Binary 10111011010100101111110 (23 bits)
Octal 0o27324576
Hexadecimal 0x5DA97E

Divisor Catalog (4)

1 2 3,069,119 6,138,238

Collatz Trajectory (227 steps to reach 1)

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

6,138,238 3,069,119 9,207,358 4,603,679 13,811,038 6,905,519 20,716,558 10,358,279 31,074,838 15,537,419 46,612,258 23,306,129 69,918,388 34,959,194 17,479,597 52,438,792 26,219,396 13,109,698 6,554,849 19,664,548 9,832,274 4,916,137 14,748,412 7,374,206 3,687,103 11,061,310 5,530,655 16,591,966 8,295,983 24,887,950 12,443,975 37,331,926 18,665,963 55,997,890 27,998,945 83,996,836 41,998,418 20,999,209 62,997,628 31,498,814 15,749,407 47,248,222 23,624,111 70,872,334 35,436,167 106,308,502 53,154,251 159,462,754 79,731,377 239,194,132 119,597,066 59,798,533 179,395,600 89,697,800 44,848,900 22,424,450 11,212,225 33,636,676 16,818,338 8,409,169

More profiles

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