λ
Harmonic Matrix

7,402,145

5 × 1480429
Deficient Odd Composite

7,402,145 has digital root 5. The neighboring primes are 7402103 and 7402147; its proper-divisor sum differs from the starting integer by -5,921,710.

Prime Factor Structure

Factorization String 5 × 1480429
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 8,882,580
Proper Divisor Sum 1,480,435
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #7402103 ← → #7402147

Radix Representation

Decimal 7402145
Binary 11100001111001010100001 (23 bits)
Octal 0o34171241
Hexadecimal 0x70F2A1

Divisor Catalog (4)

1 5 1,480,429 7,402,145

Collatz Trajectory (204 steps to reach 1)

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

7,402,145 22,206,436 11,103,218 5,551,609 16,654,828 8,327,414 4,163,707 12,491,122 6,245,561 18,736,684 9,368,342 4,684,171 14,052,514 7,026,257 21,078,772 10,539,386 5,269,693 15,809,080 7,904,540 3,952,270 1,976,135 5,928,406 2,964,203 8,892,610 4,446,305 13,338,916 6,669,458 3,334,729 10,004,188 5,002,094 2,501,047 7,503,142 3,751,571 11,254,714 5,627,357 16,882,072 8,441,036 4,220,518 2,110,259 6,330,778 3,165,389 9,496,168 4,748,084 2,374,042 1,187,021 3,561,064 1,780,532 890,266 445,133 1,335,400 667,700 333,850 166,925 500,776 250,388 125,194 62,597 187,792 93,896 46,948

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