λ
Integer Codex

3,008,754

2 × 32 × 7 × 23879
Abundant Even Composite

For 3,008,754, the 24 positive divisors have a total of 7,450,560. Removing 3,008,754 leaves 4,441,806, which gives the abundant classification.

Prime Factor Structure

Factorization String 2 × 3^2 × 7 × 23879
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 7,450,560
Proper Divisor Sum 4,441,806
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #3008743 ← → #3008773

Radix Representation

Decimal 3008754
Binary 1011011110100011110010 (22 bits)
Octal 0o13364362
Hexadecimal 0x2DE8F2

Divisor Catalog (24)

1 2 3 6 7 9 14 18 21 42 63 126 23,879 47,758 71,637 143,274 167,153 214,911 334,306 429,822 501,459 1,002,918 1,504,377 3,008,754

Collatz Trajectory (226 steps to reach 1)

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

3,008,754 1,504,377 4,513,132 2,256,566 1,128,283 3,384,850 1,692,425 5,077,276 2,538,638 1,269,319 3,807,958 1,903,979 5,711,938 2,855,969 8,567,908 4,283,954 2,141,977 6,425,932 3,212,966 1,606,483 4,819,450 2,409,725 7,229,176 3,614,588 1,807,294 903,647 2,710,942 1,355,471 4,066,414 2,033,207 6,099,622 3,049,811 9,149,434 4,574,717 13,724,152 6,862,076 3,431,038 1,715,519 5,146,558 2,573,279 7,719,838 3,859,919 11,579,758 5,789,879 17,369,638 8,684,819 26,054,458 13,027,229 39,081,688 19,540,844 9,770,422 4,885,211 14,655,634 7,327,817 21,983,452 10,991,726 5,495,863 16,487,590 8,243,795 24,731,386

More profiles

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