λ
Harmonic Matrix

7,961,686

2 × 3980843
Deficient Even Composite

7,961,686 has digital root 7. The neighboring primes are 7961669 and 7961693; its proper-divisor sum differs from the starting integer by -3,980,840.

Prime Factor Structure

Factorization String 2 × 3980843
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 11,942,532
Proper Divisor Sum 3,980,846
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #7961669 ← → #7961693

Radix Representation

Decimal 7961686
Binary 11110010111110001010110 (23 bits)
Octal 0o36276126
Hexadecimal 0x797C56

Divisor Catalog (4)

1 2 3,980,843 7,961,686

Collatz Trajectory (186 steps to reach 1)

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

7,961,686 3,980,843 11,942,530 5,971,265 17,913,796 8,956,898 4,478,449 13,435,348 6,717,674 3,358,837 10,076,512 5,038,256 2,519,128 1,259,564 629,782 314,891 944,674 472,337 1,417,012 708,506 354,253 1,062,760 531,380 265,690 132,845 398,536 199,268 99,634 49,817 149,452 74,726 37,363 112,090 56,045 168,136 84,068 42,034 21,017 63,052 31,526 15,763 47,290 23,645 70,936 35,468 17,734 8,867 26,602 13,301 39,904 19,952 9,976 4,988 2,494 1,247 3,742 1,871 5,614 2,807 8,422

More profiles

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