λ
Harmonic Matrix

7,073,978

2 × 607 × 5827
Deficient Even Composite

7,073,978 has digital root 5. The neighboring primes are 7073959 and 7073981; its proper-divisor sum differs from the starting integer by -3,517,684.

Prime Factor Structure

Factorization String 2 × 607 × 5827
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 10,630,272
Proper Divisor Sum 3,556,294
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #7073959 ← → #7073981

Radix Representation

Decimal 7073978
Binary 11010111111000010111010 (23 bits)
Octal 0o32770272
Hexadecimal 0x6BF0BA

Divisor Catalog (8)

1 2 607 1,214 5,827 11,654 3,536,989 7,073,978

Collatz Trajectory (160 steps to reach 1)

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

7,073,978 3,536,989 10,610,968 5,305,484 2,652,742 1,326,371 3,979,114 1,989,557 5,968,672 2,984,336 1,492,168 746,084 373,042 186,521 559,564 279,782 139,891 419,674 209,837 629,512 314,756 157,378 78,689 236,068 118,034 59,017 177,052 88,526 44,263 132,790 66,395 199,186 99,593 298,780 149,390 74,695 224,086 112,043 336,130 168,065 504,196 252,098 126,049 378,148 189,074 94,537 283,612 141,806 70,903 212,710 106,355 319,066 159,533 478,600 239,300 119,650 59,825 179,476 89,738 44,869

More profiles

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