λ
Zalai Atlas

5,729,361

3 × 11 × 173617
Deficient Odd Composite

5,729,361 has the prime decomposition 3 × 11 × 173617. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 11 × 173617
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 8,333,664
Proper Divisor Sum 2,604,303
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #5729359 ← → #5729377

Radix Representation

Decimal 5729361
Binary 10101110110110001010001 (23 bits)
Octal 0o25666121
Hexadecimal 0x576C51

Divisor Catalog (8)

1 3 11 33 173,617 520,851 1,909,787 5,729,361

Collatz Trajectory (214 steps to reach 1)

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

5,729,361 17,188,084 8,594,042 4,297,021 12,891,064 6,445,532 3,222,766 1,611,383 4,834,150 2,417,075 7,251,226 3,625,613 10,876,840 5,438,420 2,719,210 1,359,605 4,078,816 2,039,408 1,019,704 509,852 254,926 127,463 382,390 191,195 573,586 286,793 860,380 430,190 215,095 645,286 322,643 967,930 483,965 1,451,896 725,948 362,974 181,487 544,462 272,231 816,694 408,347 1,225,042 612,521 1,837,564 918,782 459,391 1,378,174 689,087 2,067,262 1,033,631 3,100,894 1,550,447 4,651,342 2,325,671 6,977,014 3,488,507 10,465,522 5,232,761 15,698,284 7,849,142

More profiles

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