λ
Sigma Notebook

4,609,928

23 × 211 × 2731
Deficient Even Composite

4,609,928 is even and not a perfect square. Its factorization is 2^3 × 211 × 2731 and its 16 divisors sum to 8,687,760.

Prime Factor Structure

Factorization String 2^3 × 211 × 2731
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 8,687,760
Proper Divisor Sum 4,077,832
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #4609921 ← → #4609949

Radix Representation

Decimal 4609928
Binary 10001100101011110001000 (23 bits)
Octal 0o21453610
Hexadecimal 0x465788

Divisor Catalog (16)

1 2 4 8 211 422 844 1,688 2,731 5,462 10,924 21,848 576,241 1,152,482 2,304,964 4,609,928

Collatz Trajectory (87 steps to reach 1)

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

4,609,928 2,304,964 1,152,482 576,241 1,728,724 864,362 432,181 1,296,544 648,272 324,136 162,068 81,034 40,517 121,552 60,776 30,388 15,194 7,597 22,792 11,396 5,698 2,849 8,548 4,274 2,137 6,412 3,206 1,603 4,810 2,405 7,216 3,608 1,804 902 451 1,354 677 2,032 1,016 508 254 127 382 191 574 287 862 431 1,294 647 1,942 971 2,914 1,457 4,372 2,186 1,093 3,280 1,640 820

More profiles

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