λ
Harmonic Matrix

5,422,241

11 × 31 × 15901
Deficient Odd Composite

5,422,241 has digital root 2. The neighboring primes are 5422237 and 5422247; its proper-divisor sum differs from the starting integer by -4,738,114.

Prime Factor Structure

Factorization String 11 × 31 × 15901
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 6,106,368
Proper Divisor Sum 684,127
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #5422237 ← → #5422247

Radix Representation

Decimal 5422241
Binary 10100101011110010100001 (23 bits)
Octal 0o24536241
Hexadecimal 0x52BCA1

Divisor Catalog (8)

1 11 31 341 15,901 174,911 492,931 5,422,241

Collatz Trajectory (250 steps to reach 1)

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

5,422,241 16,266,724 8,133,362 4,066,681 12,200,044 6,100,022 3,050,011 9,150,034 4,575,017 13,725,052 6,862,526 3,431,263 10,293,790 5,146,895 15,440,686 7,720,343 23,161,030 11,580,515 34,741,546 17,370,773 52,112,320 26,056,160 13,028,080 6,514,040 3,257,020 1,628,510 814,255 2,442,766 1,221,383 3,664,150 1,832,075 5,496,226 2,748,113 8,244,340 4,122,170 2,061,085 6,183,256 3,091,628 1,545,814 772,907 2,318,722 1,159,361 3,478,084 1,739,042 869,521 2,608,564 1,304,282 652,141 1,956,424 978,212 489,106 244,553 733,660 366,830 183,415 550,246 275,123 825,370 412,685 1,238,056

More profiles

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