λ
Sigma Notebook

1,827,687

3 × 17 × 35837
Deficient Odd Composite

1,827,687 is odd and not a perfect square. Its factorization is 3 × 17 × 35837 and its 8 divisors sum to 2,580,336.

Prime Factor Structure

Factorization String 3 × 17 × 35837
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 2,580,336
Proper Divisor Sum 752,649
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #1827673 ← → #1827697

Radix Representation

Decimal 1827687
Binary 110111110001101100111 (21 bits)
Octal 0o6761547
Hexadecimal 0x1BE367

Divisor Catalog (8)

1 3 17 51 35,837 107,511 609,229 1,827,687

Collatz Trajectory (246 steps to reach 1)

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

1,827,687 5,483,062 2,741,531 8,224,594 4,112,297 12,336,892 6,168,446 3,084,223 9,252,670 4,626,335 13,879,006 6,939,503 20,818,510 10,409,255 31,227,766 15,613,883 46,841,650 23,420,825 70,262,476 35,131,238 17,565,619 52,696,858 26,348,429 79,045,288 39,522,644 19,761,322 9,880,661 29,641,984 14,820,992 7,410,496 3,705,248 1,852,624 926,312 463,156 231,578 115,789 347,368 173,684 86,842 43,421 130,264 65,132 32,566 16,283 48,850 24,425 73,276 36,638 18,319 54,958 27,479 82,438 41,219 123,658 61,829 185,488 92,744 46,372 23,186 11,593

More profiles

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