λ
Sigma Notebook

7,310,580

22 × 3 × 5 × 121843
Abundant Even Composite

7,310,580 is even and not a perfect square. Its factorization is 2^2 × 3 × 5 × 121843 and its 24 divisors sum to 20,469,792.

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 121843
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 20,469,792
Proper Divisor Sum 13,159,212
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #7310579 ← → #7310593

Radix Representation

Decimal 7310580
Binary 11011111000110011110100 (23 bits)
Octal 0o33706364
Hexadecimal 0x6F8CF4

Divisor Catalog (24)

1 2 3 4 5 6 10 12 15 20 30 60 121,843 243,686 365,529 487,372 609,215 731,058 1,218,430 1,462,116 1,827,645 2,436,860 3,655,290 7,310,580

Collatz Trajectory (248 steps to reach 1)

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

7,310,580 3,655,290 1,827,645 5,482,936 2,741,468 1,370,734 685,367 2,056,102 1,028,051 3,084,154 1,542,077 4,626,232 2,313,116 1,156,558 578,279 1,734,838 867,419 2,602,258 1,301,129 3,903,388 1,951,694 975,847 2,927,542 1,463,771 4,391,314 2,195,657 6,586,972 3,293,486 1,646,743 4,940,230 2,470,115 7,410,346 3,705,173 11,115,520 5,557,760 2,778,880 1,389,440 694,720 347,360 173,680 86,840 43,420 21,710 10,855 32,566 16,283 48,850 24,425 73,276 36,638 18,319 54,958 27,479 82,438 41,219 123,658 61,829 185,488 92,744 46,372

More profiles

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