λ
Harmonic Matrix

136,236

22 × 3 × 11353
Abundant Even Composite

136,236 has digital root 3. The neighboring primes are 136223 and 136237; its proper-divisor sum differs from the starting integer by 45,440.

Prime Factor Structure

Factorization String 2^2 × 3 × 11353
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 317,912
Proper Divisor Sum 181,676
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #136223 ← → #136237

Radix Representation

Decimal 136236
Binary 100001010000101100 (18 bits)
Octal 0o412054
Hexadecimal 0x2142C

Divisor Catalog (12)

1 2 3 4 6 12 11,353 22,706 34,059 45,412 68,118 136,236

Collatz Trajectory (162 steps to reach 1)

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

136,236 68,118 34,059 102,178 51,089 153,268 76,634 38,317 114,952 57,476 28,738 14,369 43,108 21,554 10,777 32,332 16,166 8,083 24,250 12,125 36,376 18,188 9,094 4,547 13,642 6,821 20,464 10,232 5,116 2,558 1,279 3,838 1,919 5,758 2,879 8,638 4,319 12,958 6,479 19,438 9,719 29,158 14,579 43,738 21,869 65,608 32,804 16,402 8,201 24,604 12,302 6,151 18,454 9,227 27,682 13,841 41,524 20,762 10,381 31,144

More profiles

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