λ
Harmonic Matrix

6,172,041

3 × 29 × 61 × 1163
Deficient Odd Composite

6,172,041 has digital root 3. The neighboring primes are 6172021 and 6172043; its proper-divisor sum differs from the starting integer by -3,683,922.

Prime Factor Structure

Factorization String 3 × 29 × 61 × 1163
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 8,660,160
Proper Divisor Sum 2,488,119
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #6172021 ← → #6172043

Radix Representation

Decimal 6172041
Binary 10111100010110110001001 (23 bits)
Octal 0o27426611
Hexadecimal 0x5E2D89

Divisor Catalog (16)

1 3 29 61 87 183 1,163 1,769 3,489 5,307 33,727 70,943 101,181 212,829 2,057,347 6,172,041

Collatz Trajectory (77 steps to reach 1)

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

6,172,041 18,516,124 9,258,062 4,629,031 13,887,094 6,943,547 20,830,642 10,415,321 31,245,964 15,622,982 7,811,491 23,434,474 11,717,237 35,151,712 17,575,856 8,787,928 4,393,964 2,196,982 1,098,491 3,295,474 1,647,737 4,943,212 2,471,606 1,235,803 3,707,410 1,853,705 5,561,116 2,780,558 1,390,279 4,170,838 2,085,419 6,256,258 3,128,129 9,384,388 4,692,194 2,346,097 7,038,292 3,519,146 1,759,573 5,278,720 2,639,360 1,319,680 659,840 329,920 164,960 82,480 41,240 20,620 10,310 5,155 15,466 7,733 23,200 11,600 5,800 2,900 1,450 725 2,176 1,088

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