λ
Sigma Notebook

3,076,779

3 × 17 × 23 × 43 × 61
Deficient Odd Composite

3,076,779 is odd and not a perfect square. Its factorization is 3 × 17 × 23 × 43 × 61 and its 32 divisors sum to 4,713,984.

Prime Factor Structure

Factorization String 3 × 17 × 23 × 43 × 61
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 4,713,984
Proper Divisor Sum 1,637,205
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #3076757 ← → #3076783

Radix Representation

Decimal 3076779
Binary 1011101111001010101011 (22 bits)
Octal 0o13571253
Hexadecimal 0x2EF2AB

Divisor Catalog (32)

1 3 17 23 43 51 61 69 129 183 391 731 989 1,037 1,173 1,403 2,193 2,623 2,967 3,111 4,209 7,869 16,813 23,851 44,591 50,439 60,329 71,553 133,773 180,987 1,025,593 3,076,779

Collatz Trajectory (195 steps to reach 1)

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

3,076,779 9,230,338 4,615,169 13,845,508 6,922,754 3,461,377 10,384,132 5,192,066 2,596,033 7,788,100 3,894,050 1,947,025 5,841,076 2,920,538 1,460,269 4,380,808 2,190,404 1,095,202 547,601 1,642,804 821,402 410,701 1,232,104 616,052 308,026 154,013 462,040 231,020 115,510 57,755 173,266 86,633 259,900 129,950 64,975 194,926 97,463 292,390 146,195 438,586 219,293 657,880 328,940 164,470 82,235 246,706 123,353 370,060 185,030 92,515 277,546 138,773 416,320 208,160 104,080 52,040 26,020 13,010 6,505 19,516

More profiles

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