λ
Sigma Notebook

7,334,029

37 × 379 × 523
Deficient Odd Composite

7,334,029 is odd and not a perfect square. Its factorization is 37 × 379 × 523 and its 8 divisors sum to 7,566,560.

Prime Factor Structure

Factorization String 37 × 379 × 523
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 7,566,560
Proper Divisor Sum 232,531
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #7334027 ← → #7334051

Radix Representation

Decimal 7334029
Binary 11011111110100010001101 (23 bits)
Octal 0o33764215
Hexadecimal 0x6FE88D

Divisor Catalog (8)

1 37 379 523 14,023 19,351 198,217 7,334,029

Collatz Trajectory (142 steps to reach 1)

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

7,334,029 22,002,088 11,001,044 5,500,522 2,750,261 8,250,784 4,125,392 2,062,696 1,031,348 515,674 257,837 773,512 386,756 193,378 96,689 290,068 145,034 72,517 217,552 108,776 54,388 27,194 13,597 40,792 20,396 10,198 5,099 15,298 7,649 22,948 11,474 5,737 17,212 8,606 4,303 12,910 6,455 19,366 9,683 29,050 14,525 43,576 21,788 10,894 5,447 16,342 8,171 24,514 12,257 36,772 18,386 9,193 27,580 13,790 6,895 20,686 10,343 31,030 15,515 46,546

More profiles

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