λ
Integer Codex

2,754,879

3 × 157 × 5849
Deficient Odd Composite

For 2,754,879, the 8 positive divisors have a total of 3,697,200. Removing 2,754,879 leaves 942,321, which gives the deficient classification.

Prime Factor Structure

Factorization String 3 × 157 × 5849
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 3,697,200
Proper Divisor Sum 942,321
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #2754859 ← → #2754883

Radix Representation

Decimal 2754879
Binary 1010100000100100111111 (22 bits)
Octal 0o12404477
Hexadecimal 0x2A093F

Divisor Catalog (8)

1 3 157 471 5,849 17,547 918,293 2,754,879

Collatz Trajectory (112 steps to reach 1)

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

2,754,879 8,264,638 4,132,319 12,396,958 6,198,479 18,595,438 9,297,719 27,893,158 13,946,579 41,839,738 20,919,869 62,759,608 31,379,804 15,689,902 7,844,951 23,534,854 11,767,427 35,302,282 17,651,141 52,953,424 26,476,712 13,238,356 6,619,178 3,309,589 9,928,768 4,964,384 2,482,192 1,241,096 620,548 310,274 155,137 465,412 232,706 116,353 349,060 174,530 87,265 261,796 130,898 65,449 196,348 98,174 49,087 147,262 73,631 220,894 110,447 331,342 165,671 497,014 248,507 745,522 372,761 1,118,284 559,142 279,571 838,714 419,357 1,258,072 629,036

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