λ
Harmonic Matrix

57,647

17 × 3391
Deficient Odd Composite

57,647 has digital root 2. The neighboring primes are 57641 and 57649; its proper-divisor sum differs from the starting integer by -54,238.

Prime Factor Structure

Factorization String 17 × 3391
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 61,056
Proper Divisor Sum 3,409
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #57641 ← → #57649

Radix Representation

Decimal 57647
Binary 1110000100101111 (16 bits)
Octal 0o160457
Hexadecimal 0xE12F

Divisor Catalog (4)

1 17 3,391 57,647

Collatz Trajectory (197 steps to reach 1)

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

57,647 172,942 86,471 259,414 129,707 389,122 194,561 583,684 291,842 145,921 437,764 218,882 109,441 328,324 164,162 82,081 246,244 123,122 61,561 184,684 92,342 46,171 138,514 69,257 207,772 103,886 51,943 155,830 77,915 233,746 116,873 350,620 175,310 87,655 262,966 131,483 394,450 197,225 591,676 295,838 147,919 443,758 221,879 665,638 332,819 998,458 499,229 1,497,688 748,844 374,422 187,211 561,634 280,817 842,452 421,226 210,613 631,840 315,920 157,960 78,980

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