λ
Harmonic Matrix

6,171,811

631 × 9781
Deficient Odd Composite

6,171,811 has digital root 7. The neighboring primes are 6171793 and 6171829; its proper-divisor sum differs from the starting integer by -6,161,398.

Prime Factor Structure

Factorization String 631 × 9781
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 6,182,224
Proper Divisor Sum 10,413
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #6171793 ← → #6171829

Radix Representation

Decimal 6171811
Binary 10111100010110010100011 (23 bits)
Octal 0o27426243
Hexadecimal 0x5E2CA3

Divisor Catalog (4)

1 631 9,781 6,171,811

Collatz Trajectory (258 steps to reach 1)

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

6,171,811 18,515,434 9,257,717 27,773,152 13,886,576 6,943,288 3,471,644 1,735,822 867,911 2,603,734 1,301,867 3,905,602 1,952,801 5,858,404 2,929,202 1,464,601 4,393,804 2,196,902 1,098,451 3,295,354 1,647,677 4,943,032 2,471,516 1,235,758 617,879 1,853,638 926,819 2,780,458 1,390,229 4,170,688 2,085,344 1,042,672 521,336 260,668 130,334 65,167 195,502 97,751 293,254 146,627 439,882 219,941 659,824 329,912 164,956 82,478 41,239 123,718 61,859 185,578 92,789 278,368 139,184 69,592 34,796 17,398 8,699 26,098 13,049 39,148

More profiles

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