λ
Harmonic Matrix

7,649,815

5 × 1529963
Deficient Odd Composite

7,649,815 has digital root 4. The neighboring primes are 7649801 and 7649833; its proper-divisor sum differs from the starting integer by -6,119,846.

Prime Factor Structure

Factorization String 5 × 1529963
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 9,179,784
Proper Divisor Sum 1,529,969
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #7649801 ← → #7649833

Radix Representation

Decimal 7649815
Binary 11101001011101000010111 (23 bits)
Octal 0o35135027
Hexadecimal 0x74BA17

Divisor Catalog (4)

1 5 1,529,963 7,649,815

Collatz Trajectory (80 steps to reach 1)

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

7,649,815 22,949,446 11,474,723 34,424,170 17,212,085 51,636,256 25,818,128 12,909,064 6,454,532 3,227,266 1,613,633 4,840,900 2,420,450 1,210,225 3,630,676 1,815,338 907,669 2,723,008 1,361,504 680,752 340,376 170,188 85,094 42,547 127,642 63,821 191,464 95,732 47,866 23,933 71,800 35,900 17,950 8,975 26,926 13,463 40,390 20,195 60,586 30,293 90,880 45,440 22,720 11,360 5,680 2,840 1,420 710 355 1,066 533 1,600 800 400 200 100 50 25 76 38

More profiles

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