λ
Harmonic Matrix

24,238

2 × 12119
Deficient Even Composite

24,238 has digital root 1. The neighboring primes are 24229 and 24239; its proper-divisor sum differs from the starting integer by -12,116.

Prime Factor Structure

Factorization String 2 × 12119
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 36,360
Proper Divisor Sum 12,122
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #24229 ← → #24239

Radix Representation

Decimal 24238
Binary 101111010101110 (15 bits)
Octal 0o57256
Hexadecimal 0x5EAE

Divisor Catalog (4)

1 2 12,119 24,238

Collatz Trajectory (144 steps to reach 1)

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

24,238 12,119 36,358 18,179 54,538 27,269 81,808 40,904 20,452 10,226 5,113 15,340 7,670 3,835 11,506 5,753 17,260 8,630 4,315 12,946 6,473 19,420 9,710 4,855 14,566 7,283 21,850 10,925 32,776 16,388 8,194 4,097 12,292 6,146 3,073 9,220 4,610 2,305 6,916 3,458 1,729 5,188 2,594 1,297 3,892 1,946 973 2,920 1,460 730 365 1,096 548 274 137 412 206 103 310 155

More profiles

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