λ
Sigma Notebook

7,825,841

359 × 21799
Deficient Odd Composite

7,825,841 is odd and not a perfect square. Its factorization is 359 × 21799 and its 4 divisors sum to 7,848,000.

Prime Factor Structure

Factorization String 359 × 21799
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 7,848,000
Proper Divisor Sum 22,159
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #7825823 ← → #7825847

Radix Representation

Decimal 7825841
Binary 11101110110100110110001 (23 bits)
Octal 0o35664661
Hexadecimal 0x7769B1

Divisor Catalog (4)

1 359 21,799 7,825,841

Collatz Trajectory (186 steps to reach 1)

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

7,825,841 23,477,524 11,738,762 5,869,381 17,608,144 8,804,072 4,402,036 2,201,018 1,100,509 3,301,528 1,650,764 825,382 412,691 1,238,074 619,037 1,857,112 928,556 464,278 232,139 696,418 348,209 1,044,628 522,314 261,157 783,472 391,736 195,868 97,934 48,967 146,902 73,451 220,354 110,177 330,532 165,266 82,633 247,900 123,950 61,975 185,926 92,963 278,890 139,445 418,336 209,168 104,584 52,292 26,146 13,073 39,220 19,610 9,805 29,416 14,708 7,354 3,677 11,032 5,516 2,758 1,379

More profiles

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