λ
Sigma Notebook

304,633

72 × 6217
Deficient Odd Composite

304,633 is odd and not a perfect square. Its factorization is 7^2 × 6217 and its 6 divisors sum to 354,426.

Prime Factor Structure

Factorization String 7^2 × 6217
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 354,426
Proper Divisor Sum 49,793
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #304631 ← → #304643

Radix Representation

Decimal 304633
Binary 1001010010111111001 (19 bits)
Octal 0o1122771
Hexadecimal 0x4A5F9

Divisor Catalog (6)

1 7 49 6,217 43,519 304,633

Collatz Trajectory (109 steps to reach 1)

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

304,633 913,900 456,950 228,475 685,426 342,713 1,028,140 514,070 257,035 771,106 385,553 1,156,660 578,330 289,165 867,496 433,748 216,874 108,437 325,312 162,656 81,328 40,664 20,332 10,166 5,083 15,250 7,625 22,876 11,438 5,719 17,158 8,579 25,738 12,869 38,608 19,304 9,652 4,826 2,413 7,240 3,620 1,810 905 2,716 1,358 679 2,038 1,019 3,058 1,529 4,588 2,294 1,147 3,442 1,721 5,164 2,582 1,291 3,874 1,937

More profiles

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