λ
Harmonic Matrix

6,212,765

5 × 13 × 95581
Deficient Odd Composite

6,212,765 has digital root 2. The neighboring primes are 6212761 and 6212777; its proper-divisor sum differs from the starting integer by -4,396,642.

Prime Factor Structure

Factorization String 5 × 13 × 95581
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 8,028,888
Proper Divisor Sum 1,816,123
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #6212761 ← → #6212777

Radix Representation

Decimal 6212765
Binary 10111101100110010011101 (23 bits)
Octal 0o27546235
Hexadecimal 0x5ECC9D

Divisor Catalog (8)

1 5 13 65 95,581 477,905 1,242,553 6,212,765

Collatz Trajectory (77 steps to reach 1)

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

6,212,765 18,638,296 9,319,148 4,659,574 2,329,787 6,989,362 3,494,681 10,484,044 5,242,022 2,621,011 7,863,034 3,931,517 11,794,552 5,897,276 2,948,638 1,474,319 4,422,958 2,211,479 6,634,438 3,317,219 9,951,658 4,975,829 14,927,488 7,463,744 3,731,872 1,865,936 932,968 466,484 233,242 116,621 349,864 174,932 87,466 43,733 131,200 65,600 32,800 16,400 8,200 4,100 2,050 1,025 3,076 1,538 769 2,308 1,154 577 1,732 866 433 1,300 650 325 976 488 244 122 61 184

More profiles

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