λ
Harmonic Matrix

2,540,917

521 × 4877
Deficient Odd Composite

2,540,917 has digital root 1. The neighboring primes are 2540903 and 2540933; its proper-divisor sum differs from the starting integer by -2,535,518.

Prime Factor Structure

Factorization String 521 × 4877
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 2,546,316
Proper Divisor Sum 5,399
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #2540903 ← → #2540933

Radix Representation

Decimal 2540917
Binary 1001101100010101110101 (22 bits)
Octal 0o11542565
Hexadecimal 0x26C575

Divisor Catalog (4)

1 521 4,877 2,540,917

Collatz Trajectory (81 steps to reach 1)

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

2,540,917 7,622,752 3,811,376 1,905,688 952,844 476,422 238,211 714,634 357,317 1,071,952 535,976 267,988 133,994 66,997 200,992 100,496 50,248 25,124 12,562 6,281 18,844 9,422 4,711 14,134 7,067 21,202 10,601 31,804 15,902 7,951 23,854 11,927 35,782 17,891 53,674 26,837 80,512 40,256 20,128 10,064 5,032 2,516 1,258 629 1,888 944 472 236 118 59 178 89 268 134 67 202 101 304 152 76

More profiles

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