λ
Integer Codex

2,520,076

22 × 13 × 48463
Deficient Even Composite

For 2,520,076, the 12 positive divisors have a total of 4,749,472. Removing 2,520,076 leaves 2,229,396, which gives the deficient classification.

Prime Factor Structure

Factorization String 2^2 × 13 × 48463
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 4,749,472
Proper Divisor Sum 2,229,396
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #2520073 ← → #2520079

Radix Representation

Decimal 2520076
Binary 1001100111010000001100 (22 bits)
Octal 0o11472014
Hexadecimal 0x26740C

Divisor Catalog (12)

1 2 4 13 26 52 48,463 96,926 193,852 630,019 1,260,038 2,520,076

Collatz Trajectory (174 steps to reach 1)

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

2,520,076 1,260,038 630,019 1,890,058 945,029 2,835,088 1,417,544 708,772 354,386 177,193 531,580 265,790 132,895 398,686 199,343 598,030 299,015 897,046 448,523 1,345,570 672,785 2,018,356 1,009,178 504,589 1,513,768 756,884 378,442 189,221 567,664 283,832 141,916 70,958 35,479 106,438 53,219 159,658 79,829 239,488 119,744 59,872 29,936 14,968 7,484 3,742 1,871 5,614 2,807 8,422 4,211 12,634 6,317 18,952 9,476 4,738 2,369 7,108 3,554 1,777 5,332 2,666

More profiles

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