λ
Sigma Notebook

2,592,348

22 × 3 × 11 × 41 × 479
Abundant Even Composite

2,592,348 is even and not a perfect square. Its factorization is 2^2 × 3 × 11 × 41 × 479 and its 48 divisors sum to 6,773,760.

Prime Factor Structure

Factorization String 2^2 × 3 × 11 × 41 × 479
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 6,773,760
Proper Divisor Sum 4,181,412
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #2592329 ← → #2592361

Radix Representation

Decimal 2592348
Binary 1001111000111001011100 (22 bits)
Octal 0o11707134
Hexadecimal 0x278E5C

Divisor Catalog (48)

1 2 3 4 6 11 12 22 33 41 44 66 82 123 132 164 246 451 479 492 902 958 1,353 1,437 1,804 1,916 2,706 2,874 5,269 5,412 5,748 10,538 15,807 19,639 21,076 31,614 39,278 58,917 63,228 78,556 117,834 216,029 235,668 432,058 648,087 864,116 1,296,174 2,592,348

Collatz Trajectory (94 steps to reach 1)

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

2,592,348 1,296,174 648,087 1,944,262 972,131 2,916,394 1,458,197 4,374,592 2,187,296 1,093,648 546,824 273,412 136,706 68,353 205,060 102,530 51,265 153,796 76,898 38,449 115,348 57,674 28,837 86,512 43,256 21,628 10,814 5,407 16,222 8,111 24,334 12,167 36,502 18,251 54,754 27,377 82,132 41,066 20,533 61,600 30,800 15,400 7,700 3,850 1,925 5,776 2,888 1,444 722 361 1,084 542 271 814 407 1,222 611 1,834 917 2,752

More profiles

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