λ
Sigma Notebook

5,525,784

23 × 32 × 11 × 6977
Abundant Even Composite

5,525,784 is even and not a perfect square. Its factorization is 2^3 × 3^2 × 11 × 6977 and its 48 divisors sum to 16,328,520.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 11 × 6977
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 16,328,520
Proper Divisor Sum 10,802,736
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #5525777 ← → #5525791

Radix Representation

Decimal 5525784
Binary 10101000101000100011000 (23 bits)
Octal 0o25050430
Hexadecimal 0x545118

Divisor Catalog (48)

1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 792 6,977 13,954 20,931 27,908 41,862 55,816 62,793 76,747 83,724 125,586 153,494 167,448 230,241 251,172 306,988 460,482 502,344 613,976 690,723 920,964 1,381,446 1,841,928 2,762,892 5,525,784

Collatz Trajectory (201 steps to reach 1)

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

5,525,784 2,762,892 1,381,446 690,723 2,072,170 1,036,085 3,108,256 1,554,128 777,064 388,532 194,266 97,133 291,400 145,700 72,850 36,425 109,276 54,638 27,319 81,958 40,979 122,938 61,469 184,408 92,204 46,102 23,051 69,154 34,577 103,732 51,866 25,933 77,800 38,900 19,450 9,725 29,176 14,588 7,294 3,647 10,942 5,471 16,414 8,207 24,622 12,311 36,934 18,467 55,402 27,701 83,104 41,552 20,776 10,388 5,194 2,597 7,792 3,896 1,948 974

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