λ
Harmonic Matrix

5,396,096

27 × 42157
Deficient Even Composite

5,396,096 has digital root 2. The neighboring primes are 5396063 and 5396107; its proper-divisor sum differs from the starting integer by -41,902.

Prime Factor Structure

Factorization String 2^7 × 42157
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 10,750,290
Proper Divisor Sum 5,354,194
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #5396063 ← → #5396107

Radix Representation

Decimal 5396096
Binary 10100100101011010000000 (23 bits)
Octal 0o24453200
Hexadecimal 0x525680

Divisor Catalog (16)

1 2 4 8 16 32 64 128 42,157 84,314 168,628 337,256 674,512 1,349,024 2,698,048 5,396,096

Collatz Trajectory (201 steps to reach 1)

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

5,396,096 2,698,048 1,349,024 674,512 337,256 168,628 84,314 42,157 126,472 63,236 31,618 15,809 47,428 23,714 11,857 35,572 17,786 8,893 26,680 13,340 6,670 3,335 10,006 5,003 15,010 7,505 22,516 11,258 5,629 16,888 8,444 4,222 2,111 6,334 3,167 9,502 4,751 14,254 7,127 21,382 10,691 32,074 16,037 48,112 24,056 12,028 6,014 3,007 9,022 4,511 13,534 6,767 20,302 10,151 30,454 15,227 45,682 22,841 68,524 34,262

More profiles

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