λ
Integer Codex

7,600,078

2 × 43 × 67 × 1319
Deficient Even Composite

For 7,600,078, the 16 positive divisors have a total of 11,848,320. Removing 7,600,078 leaves 4,248,242, which gives the deficient classification.

Prime Factor Structure

Factorization String 2 × 43 × 67 × 1319
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 11,848,320
Proper Divisor Sum 4,248,242
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #7600069 ← → #7600079

Radix Representation

Decimal 7600078
Binary 11100111111011111001110 (23 bits)
Octal 0o34773716
Hexadecimal 0x73F7CE

Divisor Catalog (16)

1 2 43 67 86 134 1,319 2,638 2,881 5,762 56,717 88,373 113,434 176,746 3,800,039 7,600,078

Collatz Trajectory (85 steps to reach 1)

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

7,600,078 3,800,039 11,400,118 5,700,059 17,100,178 8,550,089 25,650,268 12,825,134 6,412,567 19,237,702 9,618,851 28,856,554 14,428,277 43,284,832 21,642,416 10,821,208 5,410,604 2,705,302 1,352,651 4,057,954 2,028,977 6,086,932 3,043,466 1,521,733 4,565,200 2,282,600 1,141,300 570,650 285,325 855,976 427,988 213,994 106,997 320,992 160,496 80,248 40,124 20,062 10,031 30,094 15,047 45,142 22,571 67,714 33,857 101,572 50,786 25,393 76,180 38,090 19,045 57,136 28,568 14,284 7,142 3,571 10,714 5,357 16,072 8,036

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