λ
Harmonic Matrix

237,397

47 × 5051
Deficient Odd Composite

237,397 has digital root 4. The neighboring primes are 237379 and 237401; its proper-divisor sum differs from the starting integer by -232,298.

Prime Factor Structure

Factorization String 47 × 5051
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 242,496
Proper Divisor Sum 5,099
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #237379 ← → #237401

Radix Representation

Decimal 237397
Binary 111001111101010101 (18 bits)
Octal 0o717525
Hexadecimal 0x39F55

Divisor Catalog (4)

1 47 5,051 237,397

Collatz Trajectory (124 steps to reach 1)

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

237,397 712,192 356,096 178,048 89,024 44,512 22,256 11,128 5,564 2,782 1,391 4,174 2,087 6,262 3,131 9,394 4,697 14,092 7,046 3,523 10,570 5,285 15,856 7,928 3,964 1,982 991 2,974 1,487 4,462 2,231 6,694 3,347 10,042 5,021 15,064 7,532 3,766 1,883 5,650 2,825 8,476 4,238 2,119 6,358 3,179 9,538 4,769 14,308 7,154 3,577 10,732 5,366 2,683 8,050 4,025 12,076 6,038 3,019 9,058

More profiles

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