λ
Harmonic Matrix

136,395

32 × 5 × 7 × 433
Deficient Odd Composite

136,395 has digital root 9. The neighboring primes are 136393 and 136397; its proper-divisor sum differs from the starting integer by -1,974.

Prime Factor Structure

Factorization String 3^2 × 5 × 7 × 433
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 270,816
Proper Divisor Sum 134,421
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #136393 ← → #136397

Radix Representation

Decimal 136395
Binary 100001010011001011 (18 bits)
Octal 0o412313
Hexadecimal 0x214CB

Divisor Catalog (24)

1 3 5 7 9 15 21 35 45 63 105 315 433 1,299 2,165 3,031 3,897 6,495 9,093 15,155 19,485 27,279 45,465 136,395

Collatz Trajectory (175 steps to reach 1)

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

136,395 409,186 204,593 613,780 306,890 153,445 460,336 230,168 115,084 57,542 28,771 86,314 43,157 129,472 64,736 32,368 16,184 8,092 4,046 2,023 6,070 3,035 9,106 4,553 13,660 6,830 3,415 10,246 5,123 15,370 7,685 23,056 11,528 5,764 2,882 1,441 4,324 2,162 1,081 3,244 1,622 811 2,434 1,217 3,652 1,826 913 2,740 1,370 685 2,056 1,028 514 257 772 386 193 580 290 145

More profiles

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