λ
Harmonic Matrix

2,477,594

2 × 7 × 37 × 4783
Deficient Even Composite

2,477,594 has digital root 2. The neighboring primes are 2477561 and 2477599; its proper-divisor sum differs from the starting integer by -592,180.

Prime Factor Structure

Factorization String 2 × 7 × 37 × 4783
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 4,363,008
Proper Divisor Sum 1,885,414
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #2477561 ← → #2477599

Radix Representation

Decimal 2477594
Binary 1001011100111000011010 (22 bits)
Octal 0o11347032
Hexadecimal 0x25CE1A

Divisor Catalog (16)

1 2 7 14 37 74 259 518 4,783 9,566 33,481 66,962 176,971 353,942 1,238,797 2,477,594

Collatz Trajectory (205 steps to reach 1)

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

2,477,594 1,238,797 3,716,392 1,858,196 929,098 464,549 1,393,648 696,824 348,412 174,206 87,103 261,310 130,655 391,966 195,983 587,950 293,975 881,926 440,963 1,322,890 661,445 1,984,336 992,168 496,084 248,042 124,021 372,064 186,032 93,016 46,508 23,254 11,627 34,882 17,441 52,324 26,162 13,081 39,244 19,622 9,811 29,434 14,717 44,152 22,076 11,038 5,519 16,558 8,279 24,838 12,419 37,258 18,629 55,888 27,944 13,972 6,986 3,493 10,480 5,240 2,620

More profiles

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