λ
Harmonic Matrix

7,076,489

7 × 131 × 7717
Deficient Odd Composite

7,076,489 has digital root 5. The neighboring primes are 7076453 and 7076501; its proper-divisor sum differs from the starting integer by -6,002,770.

Prime Factor Structure

Factorization String 7 × 131 × 7717
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 8,150,208
Proper Divisor Sum 1,073,719
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #7076453 ← → #7076501

Radix Representation

Decimal 7076489
Binary 11010111111101010001001 (23 bits)
Octal 0o32775211
Hexadecimal 0x6BFA89

Divisor Catalog (8)

1 7 131 917 7,717 54,019 1,010,927 7,076,489

Collatz Trajectory (222 steps to reach 1)

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

7,076,489 21,229,468 10,614,734 5,307,367 15,922,102 7,961,051 23,883,154 11,941,577 35,824,732 17,912,366 8,956,183 26,868,550 13,434,275 40,302,826 20,151,413 60,454,240 30,227,120 15,113,560 7,556,780 3,778,390 1,889,195 5,667,586 2,833,793 8,501,380 4,250,690 2,125,345 6,376,036 3,188,018 1,594,009 4,782,028 2,391,014 1,195,507 3,586,522 1,793,261 5,379,784 2,689,892 1,344,946 672,473 2,017,420 1,008,710 504,355 1,513,066 756,533 2,269,600 1,134,800 567,400 283,700 141,850 70,925 212,776 106,388 53,194 26,597 79,792 39,896 19,948 9,974 4,987 14,962 7,481

More profiles

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