λ
Sigma Notebook

1,786,733

13 × 167 × 823
Deficient Odd Composite

1,786,733 is odd and not a perfect square. Its factorization is 13 × 167 × 823 and its 8 divisors sum to 1,938,048.

Prime Factor Structure

Factorization String 13 × 167 × 823
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,938,048
Proper Divisor Sum 151,315
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #1786727 ← → #1786753

Radix Representation

Decimal 1786733
Binary 110110100001101101101 (21 bits)
Octal 0o6641555
Hexadecimal 0x1B436D

Divisor Catalog (8)

1 13 167 823 2,171 10,699 137,441 1,786,733

Collatz Trajectory (140 steps to reach 1)

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

1,786,733 5,360,200 2,680,100 1,340,050 670,025 2,010,076 1,005,038 502,519 1,507,558 753,779 2,261,338 1,130,669 3,392,008 1,696,004 848,002 424,001 1,272,004 636,002 318,001 954,004 477,002 238,501 715,504 357,752 178,876 89,438 44,719 134,158 67,079 201,238 100,619 301,858 150,929 452,788 226,394 113,197 339,592 169,796 84,898 42,449 127,348 63,674 31,837 95,512 47,756 23,878 11,939 35,818 17,909 53,728 26,864 13,432 6,716 3,358 1,679 5,038 2,519 7,558 3,779 11,338

More profiles

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