λ
Sigma Notebook

8,127,771

3 × 2709257
Deficient Odd Composite

8,127,771 is odd and not a perfect square. Its factorization is 3 × 2709257 and its 4 divisors sum to 10,837,032.

Prime Factor Structure

Factorization String 3 × 2709257
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 10,837,032
Proper Divisor Sum 2,709,261
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #8127761 ← → #8127793

Radix Representation

Decimal 8127771
Binary 11111000000010100011011 (23 bits)
Octal 0o37002433
Hexadecimal 0x7C051B

Divisor Catalog (4)

1 3 2,709,257 8,127,771

Collatz Trajectory (261 steps to reach 1)

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

8,127,771 24,383,314 12,191,657 36,574,972 18,287,486 9,143,743 27,431,230 13,715,615 41,146,846 20,573,423 61,720,270 30,860,135 92,580,406 46,290,203 138,870,610 69,435,305 208,305,916 104,152,958 52,076,479 156,229,438 78,114,719 234,344,158 117,172,079 351,516,238 175,758,119 527,274,358 263,637,179 790,911,538 395,455,769 1,186,367,308 593,183,654 296,591,827 889,775,482 444,887,741 1,334,663,224 667,331,612 333,665,806 166,832,903 500,498,710 250,249,355 750,748,066 375,374,033 1,126,122,100 563,061,050 281,530,525 844,591,576 422,295,788 211,147,894 105,573,947 316,721,842 158,360,921 475,082,764 237,541,382 118,770,691 356,312,074 178,156,037 534,468,112 267,234,056 133,617,028 66,808,514

More profiles

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