λ
Harmonic Matrix

5,341,382

2 × 23 × 83 × 1399
Deficient Even Composite

5,341,382 has digital root 8. The neighboring primes are 5341381 and 5341387; its proper-divisor sum differs from the starting integer by -2,215,564.

Prime Factor Structure

Factorization String 2 × 23 × 83 × 1399
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 8,467,200
Proper Divisor Sum 3,125,818
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #5341381 ← → #5341387

Radix Representation

Decimal 5341382
Binary 10100011000000011000110 (23 bits)
Octal 0o24300306
Hexadecimal 0x5180C6

Divisor Catalog (16)

1 2 23 46 83 166 1,399 1,909 2,798 3,818 32,177 64,354 116,117 232,234 2,670,691 5,341,382

Collatz Trajectory (95 steps to reach 1)

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

5,341,382 2,670,691 8,012,074 4,006,037 12,018,112 6,009,056 3,004,528 1,502,264 751,132 375,566 187,783 563,350 281,675 845,026 422,513 1,267,540 633,770 316,885 950,656 475,328 237,664 118,832 59,416 29,708 14,854 7,427 22,282 11,141 33,424 16,712 8,356 4,178 2,089 6,268 3,134 1,567 4,702 2,351 7,054 3,527 10,582 5,291 15,874 7,937 23,812 11,906 5,953 17,860 8,930 4,465 13,396 6,698 3,349 10,048 5,024 2,512 1,256 628 314 157

More profiles

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