λ
Sigma Notebook

8,210,029

2663 × 3083
Deficient Odd Composite

8,210,029 is odd and not a perfect square. Its factorization is 2663 × 3083 and its 4 divisors sum to 8,215,776.

Prime Factor Structure

Factorization String 2663 × 3083
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 8,215,776
Proper Divisor Sum 5,747
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #8210017 ← → #8210053

Radix Representation

Decimal 8210029
Binary 11111010100011001101101 (23 bits)
Octal 0o37243155
Hexadecimal 0x7D466D

Divisor Catalog (4)

1 2,663 3,083 8,210,029

Collatz Trajectory (54 steps to reach 1)

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

8,210,029 24,630,088 12,315,044 6,157,522 3,078,761 9,236,284 4,618,142 2,309,071 6,927,214 3,463,607 10,390,822 5,195,411 15,586,234 7,793,117 23,379,352 11,689,676 5,844,838 2,922,419 8,767,258 4,383,629 13,150,888 6,575,444 3,287,722 1,643,861 4,931,584 2,465,792 1,232,896 616,448 308,224 154,112 77,056 38,528 19,264 9,632 4,816 2,408 1,204 602 301 904 452 226 113 340 170 85 256 128 64 32 16 8 4 2 1

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