7,441,828

2² × 41 × 45377

For 7,441,828, the 12 positive divisors have a total of 13,341,132. Removing 7,441,828 leaves 5,899,304, which gives the deficient classification.

Prime Factor Structure

Factorization String 2^2 × 41 × 45377

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 13,341,132

Proper Divisor Sum 5,899,304

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #7441823 ← → #7441831

Radix Representation

Decimal	7441828
Binary	11100011000110110100100 (23 bits)
Octal	0o34306644
Hexadecimal	0x718DA4

Divisor Catalog (12)

1 2 4 41 82 164 45,377 90,754 181,508 1,860,457 3,720,914 7,441,828

Collatz Trajectory (142 steps to reach 1)

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

7,441,828 3,720,914 1,860,457 5,581,372 2,790,686 1,395,343 4,186,030 2,093,015 6,279,046 3,139,523 9,418,570 4,709,285 14,127,856 7,063,928 3,531,964 1,765,982 882,991 2,648,974 1,324,487 3,973,462 1,986,731 5,960,194 2,980,097 8,940,292 4,470,146 2,235,073 6,705,220 3,352,610 1,676,305 5,028,916 2,514,458 1,257,229 3,771,688 1,885,844 942,922 471,461 1,414,384 707,192 353,596 176,798 88,399 265,198 132,599 397,798 198,899 596,698 298,349 895,048 447,524 223,762 111,881 335,644 167,822 83,911 251,734 125,867 377,602 188,801 566,404 283,202

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