λ
Sigma Notebook

5,524,813

7 × 172 × 2731
Deficient Odd Composite

5,524,813 is odd and not a perfect square. Its factorization is 7 × 17^2 × 2731 and its 12 divisors sum to 6,709,792.

Prime Factor Structure

Factorization String 7 × 17^2 × 2731
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 6,709,792
Proper Divisor Sum 1,184,979
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #5524811 ← → #5524823

Radix Representation

Decimal 5524813
Binary 10101000100110101001101 (23 bits)
Octal 0o25046515
Hexadecimal 0x544D4D

Divisor Catalog (12)

1 7 17 119 289 2,023 2,731 19,117 46,427 324,989 789,259 5,524,813

Collatz Trajectory (162 steps to reach 1)

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

5,524,813 16,574,440 8,287,220 4,143,610 2,071,805 6,215,416 3,107,708 1,553,854 776,927 2,330,782 1,165,391 3,496,174 1,748,087 5,244,262 2,622,131 7,866,394 3,933,197 11,799,592 5,899,796 2,949,898 1,474,949 4,424,848 2,212,424 1,106,212 553,106 276,553 829,660 414,830 207,415 622,246 311,123 933,370 466,685 1,400,056 700,028 350,014 175,007 525,022 262,511 787,534 393,767 1,181,302 590,651 1,771,954 885,977 2,657,932 1,328,966 664,483 1,993,450 996,725 2,990,176 1,495,088 747,544 373,772 186,886 93,443 280,330 140,165 420,496 210,248

More profiles

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