λ
Harmonic Matrix

136,669

13 × 10513
Deficient Odd Composite

136,669 has digital root 4. The neighboring primes are 136657 and 136691; its proper-divisor sum differs from the starting integer by -126,142.

Prime Factor Structure

Factorization String 13 × 10513
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 147,196
Proper Divisor Sum 10,527
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #136657 ← → #136691

Radix Representation

Decimal 136669
Binary 100001010111011101 (18 bits)
Octal 0o412735
Hexadecimal 0x215DD

Divisor Catalog (4)

1 13 10,513 136,669

Collatz Trajectory (82 steps to reach 1)

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

136,669 410,008 205,004 102,502 51,251 153,754 76,877 230,632 115,316 57,658 28,829 86,488 43,244 21,622 10,811 32,434 16,217 48,652 24,326 12,163 36,490 18,245 54,736 27,368 13,684 6,842 3,421 10,264 5,132 2,566 1,283 3,850 1,925 5,776 2,888 1,444 722 361 1,084 542 271 814 407 1,222 611 1,834 917 2,752 1,376 688 344 172 86 43 130 65 196 98 49 148

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