7,225,829

13 × 131 × 4243

7,225,829 factors as 13 × 131 × 4243. Its 8 positive divisors give a proper-divisor sum of 617,083, so this integer is deficient. The Collatz stopping time is 90 steps.

Prime Factor Structure

Factorization String 13 × 131 × 4243

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 7,842,912

Proper Divisor Sum 617,083

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #7225819 ← → #7225831

Radix Representation

Decimal	7225829
Binary	11011100100000111100101 (23 bits)
Octal	0o33440745
Hexadecimal	0x6E41E5

Divisor Catalog (8)

1 13 131 1,703 4,243 55,159 555,833 7,225,829

Collatz Trajectory (90 steps to reach 1)

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

7,225,829 21,677,488 10,838,744 5,419,372 2,709,686 1,354,843 4,064,530 2,032,265 6,096,796 3,048,398 1,524,199 4,572,598 2,286,299 6,858,898 3,429,449 10,288,348 5,144,174 2,572,087 7,716,262 3,858,131 11,574,394 5,787,197 17,361,592 8,680,796 4,340,398 2,170,199 6,510,598 3,255,299 9,765,898 4,882,949 14,648,848 7,324,424 3,662,212 1,831,106 915,553 2,746,660 1,373,330 686,665 2,059,996 1,029,998 514,999 1,544,998 772,499 2,317,498 1,158,749 3,476,248 1,738,124 869,062 434,531 1,303,594 651,797 1,955,392 977,696 488,848 244,424 122,212 61,106 30,553 91,660 45,830

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