λ
Harmonic Matrix

7,747,571

13 × 595967
Deficient Odd Composite

7,747,571 has digital root 2. The neighboring primes are 7747567 and 7747589; its proper-divisor sum differs from the starting integer by -7,151,590.

Prime Factor Structure

Factorization String 13 × 595967
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 8,343,552
Proper Divisor Sum 595,981
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #7747567 ← → #7747589

Radix Representation

Decimal 7747571
Binary 11101100011011111110011 (23 bits)
Octal 0o35433763
Hexadecimal 0x7637F3

Divisor Catalog (4)

1 13 595,967 7,747,571

Collatz Trajectory (98 steps to reach 1)

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

7,747,571 23,242,714 11,621,357 34,864,072 17,432,036 8,716,018 4,358,009 13,074,028 6,537,014 3,268,507 9,805,522 4,902,761 14,708,284 7,354,142 3,677,071 11,031,214 5,515,607 16,546,822 8,273,411 24,820,234 12,410,117 37,230,352 18,615,176 9,307,588 4,653,794 2,326,897 6,980,692 3,490,346 1,745,173 5,235,520 2,617,760 1,308,880 654,440 327,220 163,610 81,805 245,416 122,708 61,354 30,677 92,032 46,016 23,008 11,504 5,752 2,876 1,438 719 2,158 1,079 3,238 1,619 4,858 2,429 7,288 3,644 1,822 911 2,734 1,367

More profiles

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