λ
Sigma Notebook

9,045,348

22 × 3 × 13 × 23 × 2521
Abundant Even Composite

9,045,348 is even and not a perfect square. Its factorization is 2^2 × 3 × 13 × 23 × 2521 and its 48 divisors sum to 23,726,976.

Prime Factor Structure

Factorization String 2^2 × 3 × 13 × 23 × 2521
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 23,726,976
Proper Divisor Sum 14,681,628
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #9045317 ← → #9045367

Radix Representation

Decimal 9045348
Binary 100010100000010101100100 (24 bits)
Octal 0o42402544
Hexadecimal 0x8A0564

Divisor Catalog (48)

1 2 3 4 6 12 13 23 26 39 46 52 69 78 92 138 156 276 299 598 897 1,196 1,794 2,521 3,588 5,042 7,563 10,084 15,126 30,252 32,773 57,983 65,546 98,319 115,966 131,092 173,949 196,638 231,932 347,898 393,276 695,796 753,779 1,507,558 2,261,337 3,015,116 4,522,674 9,045,348

Collatz Trajectory (132 steps to reach 1)

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

9,045,348 4,522,674 2,261,337 6,784,012 3,392,006 1,696,003 5,088,010 2,544,005 7,632,016 3,816,008 1,908,004 954,002 477,001 1,431,004 715,502 357,751 1,073,254 536,627 1,609,882 804,941 2,414,824 1,207,412 603,706 301,853 905,560 452,780 226,390 113,195 339,586 169,793 509,380 254,690 127,345 382,036 191,018 95,509 286,528 143,264 71,632 35,816 17,908 8,954 4,477 13,432 6,716 3,358 1,679 5,038 2,519 7,558 3,779 11,338 5,669 17,008 8,504 4,252 2,126 1,063 3,190 1,595

More profiles

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