λ
Sigma Notebook

2,517,520

24 × 5 × 31469
Abundant Even Composite

2,517,520 is even and not a perfect square. Its factorization is 2^4 × 5 × 31469 and its 20 divisors sum to 5,853,420.

Prime Factor Structure

Factorization String 2^4 × 5 × 31469
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 5,853,420
Proper Divisor Sum 3,335,900
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #2517509 ← → #2517533

Radix Representation

Decimal 2517520
Binary 1001100110101000010000 (22 bits)
Octal 0o11465020
Hexadecimal 0x266A10

Divisor Catalog (20)

1 2 4 5 8 10 16 20 40 80 31,469 62,938 125,876 157,345 251,752 314,690 503,504 629,380 1,258,760 2,517,520

Collatz Trajectory (156 steps to reach 1)

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

2,517,520 1,258,760 629,380 314,690 157,345 472,036 236,018 118,009 354,028 177,014 88,507 265,522 132,761 398,284 199,142 99,571 298,714 149,357 448,072 224,036 112,018 56,009 168,028 84,014 42,007 126,022 63,011 189,034 94,517 283,552 141,776 70,888 35,444 17,722 8,861 26,584 13,292 6,646 3,323 9,970 4,985 14,956 7,478 3,739 11,218 5,609 16,828 8,414 4,207 12,622 6,311 18,934 9,467 28,402 14,201 42,604 21,302 10,651 31,954 15,977

More profiles

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