λ
Ratio Atlas
Atlas › Integer Profiles › Node 8,224,892

8,224,892

22 × 132 × 233
Deficient Even Composite

8,224,892 factors as 2^2 × 13^2 × 23^3. Its 36 positive divisors give a proper-divisor sum of 8,069,428, so this integer is deficient. The Collatz stopping time is 106 steps.

Prime Factor Structure

Factorization String 2^2 × 13^2 × 23^3
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 16,294,320
Proper Divisor Sum 8,069,428
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #8224877 ← → #8224897

Radix Representation

Decimal 8224892
Binary 11111011000000001111100 (23 bits)
Octal 0o37300174
Hexadecimal 0x7D807C

Divisor Catalog (36)

1 2 4 13 23 26 46 52 92 169 299 338 529 598 676 1,058 1,196 2,116 3,887 6,877 7,774 12,167 13,754 15,548 24,334 27,508 48,668 89,401 158,171 178,802 316,342 357,604 632,684 2,056,223 4,112,446 8,224,892

Collatz Trajectory (106 steps to reach 1)

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

8,224,892 4,112,446 2,056,223 6,168,670 3,084,335 9,253,006 4,626,503 13,879,510 6,939,755 20,819,266 10,409,633 31,228,900 15,614,450 7,807,225 23,421,676 11,710,838 5,855,419 17,566,258 8,783,129 26,349,388 13,174,694 6,587,347 19,762,042 9,881,021 29,643,064 14,821,532 7,410,766 3,705,383 11,116,150 5,558,075 16,674,226 8,337,113 25,011,340 12,505,670 6,252,835 18,758,506 9,379,253 28,137,760 14,068,880 7,034,440 3,517,220 1,758,610 879,305 2,637,916 1,318,958 659,479 1,978,438 989,219 2,967,658 1,483,829 4,451,488 2,225,744 1,112,872 556,436 278,218 139,109 417,328 208,664 104,332 52,166

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #8,224,891 Browse Full Index Next Integer #8,224,893 →