λ
Harmonic Matrix

133,445

5 × 13 × 2053
Deficient Odd Composite

133,445 has digital root 2. The neighboring primes are 133439 and 133447; its proper-divisor sum differs from the starting integer by -94,354.

Prime Factor Structure

Factorization String 5 × 13 × 2053
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 172,536
Proper Divisor Sum 39,091
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #133439 ← → #133447

Radix Representation

Decimal 133445
Binary 100000100101000101 (18 bits)
Octal 0o404505
Hexadecimal 0x20945

Divisor Catalog (8)

1 5 13 65 2,053 10,265 26,689 133,445

Collatz Trajectory (118 steps to reach 1)

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

133,445 400,336 200,168 100,084 50,042 25,021 75,064 37,532 18,766 9,383 28,150 14,075 42,226 21,113 63,340 31,670 15,835 47,506 23,753 71,260 35,630 17,815 53,446 26,723 80,170 40,085 120,256 60,128 30,064 15,032 7,516 3,758 1,879 5,638 2,819 8,458 4,229 12,688 6,344 3,172 1,586 793 2,380 1,190 595 1,786 893 2,680 1,340 670 335 1,006 503 1,510 755 2,266 1,133 3,400 1,700 850

More profiles

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