λ
Harmonic Matrix

7,656,243

3 × 7 × 364583
Deficient Odd Composite

7,656,243 has digital root 6. The neighboring primes are 7656211 and 7656247; its proper-divisor sum differs from the starting integer by -3,645,798.

Prime Factor Structure

Factorization String 3 × 7 × 364583
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 11,666,688
Proper Divisor Sum 4,010,445
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #7656211 ← → #7656247

Radix Representation

Decimal 7656243
Binary 11101001101001100110011 (23 bits)
Octal 0o35151463
Hexadecimal 0x74D333

Divisor Catalog (8)

1 3 7 21 364,583 1,093,749 2,552,081 7,656,243

Collatz Trajectory (217 steps to reach 1)

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

7,656,243 22,968,730 11,484,365 34,453,096 17,226,548 8,613,274 4,306,637 12,919,912 6,459,956 3,229,978 1,614,989 4,844,968 2,422,484 1,211,242 605,621 1,816,864 908,432 454,216 227,108 113,554 56,777 170,332 85,166 42,583 127,750 63,875 191,626 95,813 287,440 143,720 71,860 35,930 17,965 53,896 26,948 13,474 6,737 20,212 10,106 5,053 15,160 7,580 3,790 1,895 5,686 2,843 8,530 4,265 12,796 6,398 3,199 9,598 4,799 14,398 7,199 21,598 10,799 32,398 16,199 48,598

More profiles

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