λ
Sigma Notebook

836,691

3 × 151 × 1847
Deficient Odd Composite

836,691 is odd and not a perfect square. Its factorization is 3 × 151 × 1847 and its 8 divisors sum to 1,123,584.

Prime Factor Structure

Factorization String 3 × 151 × 1847
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,123,584
Proper Divisor Sum 286,893
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #836683 ← → #836699

Radix Representation

Decimal 836691
Binary 11001100010001010011 (20 bits)
Octal 0o3142123
Hexadecimal 0xCC453

Divisor Catalog (8)

1 3 151 453 1,847 5,541 278,897 836,691

Collatz Trajectory (162 steps to reach 1)

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

836,691 2,510,074 1,255,037 3,765,112 1,882,556 941,278 470,639 1,411,918 705,959 2,117,878 1,058,939 3,176,818 1,588,409 4,765,228 2,382,614 1,191,307 3,573,922 1,786,961 5,360,884 2,680,442 1,340,221 4,020,664 2,010,332 1,005,166 502,583 1,507,750 753,875 2,261,626 1,130,813 3,392,440 1,696,220 848,110 424,055 1,272,166 636,083 1,908,250 954,125 2,862,376 1,431,188 715,594 357,797 1,073,392 536,696 268,348 134,174 67,087 201,262 100,631 301,894 150,947 452,842 226,421 679,264 339,632 169,816 84,908 42,454 21,227 63,682 31,841

More profiles

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