λ
Harmonic Matrix

4,161,716

22 × 13 × 163 × 491
Deficient Even Composite

4,161,716 has digital root 8. The neighboring primes are 4161713 and 4161721; its proper-divisor sum differs from the starting integer by -416,008.

Prime Factor Structure

Factorization String 2^2 × 13 × 163 × 491
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 7,907,424
Proper Divisor Sum 3,745,708
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #4161713 ← → #4161721

Radix Representation

Decimal 4161716
Binary 1111111000000010110100 (22 bits)
Octal 0o17700264
Hexadecimal 0x3F80B4

Divisor Catalog (24)

1 2 4 13 26 52 163 326 491 652 982 1,964 2,119 4,238 6,383 8,476 12,766 25,532 80,033 160,066 320,132 1,040,429 2,080,858 4,161,716

Collatz Trajectory (167 steps to reach 1)

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

4,161,716 2,080,858 1,040,429 3,121,288 1,560,644 780,322 390,161 1,170,484 585,242 292,621 877,864 438,932 219,466 109,733 329,200 164,600 82,300 41,150 20,575 61,726 30,863 92,590 46,295 138,886 69,443 208,330 104,165 312,496 156,248 78,124 39,062 19,531 58,594 29,297 87,892 43,946 21,973 65,920 32,960 16,480 8,240 4,120 2,060 1,030 515 1,546 773 2,320 1,160 580 290 145 436 218 109 328 164 82 41 124

More profiles

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