λ
Sigma Notebook

7,653,221

349 × 21929
Deficient Odd Composite

7,653,221 is odd and not a perfect square. Its factorization is 349 × 21929 and its 4 divisors sum to 7,675,500.

Prime Factor Structure

Factorization String 349 × 21929
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 7,675,500
Proper Divisor Sum 22,279
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #7653211 ← → #7653229

Radix Representation

Decimal 7653221
Binary 11101001100011101100101 (23 bits)
Octal 0o35143545
Hexadecimal 0x74C765

Divisor Catalog (4)

1 349 21,929 7,653,221

Collatz Trajectory (80 steps to reach 1)

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

7,653,221 22,959,664 11,479,832 5,739,916 2,869,958 1,434,979 4,304,938 2,152,469 6,457,408 3,228,704 1,614,352 807,176 403,588 201,794 100,897 302,692 151,346 75,673 227,020 113,510 56,755 170,266 85,133 255,400 127,700 63,850 31,925 95,776 47,888 23,944 11,972 5,986 2,993 8,980 4,490 2,245 6,736 3,368 1,684 842 421 1,264 632 316 158 79 238 119 358 179 538 269 808 404 202 101 304 152 76 38

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