λ
Harmonic Matrix

2,478,557

2478557
Deficient Odd Prime

2,478,557 has digital root 2. The neighboring primes are 2478547 and 2478587; its proper-divisor sum differs from the starting integer by -2,478,556.

Prime Factor Structure

Factorization String 2478557
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 2,478,558
Proper Divisor Sum 1
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #2478547 ← → #2478587

Radix Representation

Decimal 2478557
Binary 1001011101000111011101 (22 bits)
Octal 0o11350735
Hexadecimal 0x25D1DD

Divisor Catalog (2)

Collatz Trajectory (81 steps to reach 1)

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

2,478,557 7,435,672 3,717,836 1,858,918 929,459 2,788,378 1,394,189 4,182,568 2,091,284 1,045,642 522,821 1,568,464 784,232 392,116 196,058 98,029 294,088 147,044 73,522 36,761 110,284 55,142 27,571 82,714 41,357 124,072 62,036 31,018 15,509 46,528 23,264 11,632 5,816 2,908 1,454 727 2,182 1,091 3,274 1,637 4,912 2,456 1,228 614 307 922 461 1,384 692 346 173 520 260 130 65 196 98 49 148 74

More profiles

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