λ
Integer Codex

9,141,582

2 × 3 × 61 × 24977
Abundant Even Composite

For 9,141,582, the 16 positive divisors have a total of 18,583,632. Removing 9,141,582 leaves 9,442,050, which gives the abundant classification.

Prime Factor Structure

Factorization String 2 × 3 × 61 × 24977
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 18,583,632
Proper Divisor Sum 9,442,050
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #9141581 ← → #9141589

Radix Representation

Decimal 9141582
Binary 100010110111110101001110 (24 bits)
Octal 0o42676516
Hexadecimal 0x8B7D4E

Divisor Catalog (16)

1 2 3 6 61 122 183 366 24,977 49,954 74,931 149,862 1,523,597 3,047,194 4,570,791 9,141,582

Collatz Trajectory (243 steps to reach 1)

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

9,141,582 4,570,791 13,712,374 6,856,187 20,568,562 10,284,281 30,852,844 15,426,422 7,713,211 23,139,634 11,569,817 34,709,452 17,354,726 8,677,363 26,032,090 13,016,045 39,048,136 19,524,068 9,762,034 4,881,017 14,643,052 7,321,526 3,660,763 10,982,290 5,491,145 16,473,436 8,236,718 4,118,359 12,355,078 6,177,539 18,532,618 9,266,309 27,798,928 13,899,464 6,949,732 3,474,866 1,737,433 5,212,300 2,606,150 1,303,075 3,909,226 1,954,613 5,863,840 2,931,920 1,465,960 732,980 366,490 183,245 549,736 274,868 137,434 68,717 206,152 103,076 51,538 25,769 77,308 38,654 19,327 57,982

More profiles

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