λ
Harmonic Matrix

154,187

11 × 107 × 131
Deficient Odd Composite

154,187 has digital root 8. The neighboring primes are 154183 and 154211; its proper-divisor sum differs from the starting integer by -137,302.

Prime Factor Structure

Factorization String 11 × 107 × 131
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 171,072
Proper Divisor Sum 16,885
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #154183 ← → #154211

Radix Representation

Decimal 154187
Binary 100101101001001011 (18 bits)
Octal 0o455113
Hexadecimal 0x25A4B

Divisor Catalog (8)

1 11 107 131 1,177 1,441 14,017 154,187

Collatz Trajectory (139 steps to reach 1)

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

154,187 462,562 231,281 693,844 346,922 173,461 520,384 260,192 130,096 65,048 32,524 16,262 8,131 24,394 12,197 36,592 18,296 9,148 4,574 2,287 6,862 3,431 10,294 5,147 15,442 7,721 23,164 11,582 5,791 17,374 8,687 26,062 13,031 39,094 19,547 58,642 29,321 87,964 43,982 21,991 65,974 32,987 98,962 49,481 148,444 74,222 37,111 111,334 55,667 167,002 83,501 250,504 125,252 62,626 31,313 93,940 46,970 23,485 70,456 35,228

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