λ
Harmonic Matrix

5,299,004

22 × 41 × 79 × 409
Deficient Even Composite

5,299,004 has digital root 2. The neighboring primes are 5299001 and 5299027; its proper-divisor sum differs from the starting integer by -954,808.

Prime Factor Structure

Factorization String 2^2 × 41 × 79 × 409
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 9,643,200
Proper Divisor Sum 4,344,196
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #5299001 ← → #5299027

Radix Representation

Decimal 5299004
Binary 10100001101101100111100 (23 bits)
Octal 0o24155474
Hexadecimal 0x50DB3C

Divisor Catalog (24)

1 2 4 41 79 82 158 164 316 409 818 1,636 3,239 6,478 12,956 16,769 32,311 33,538 64,622 67,076 129,244 1,324,751 2,649,502 5,299,004

Collatz Trajectory (126 steps to reach 1)

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

5,299,004 2,649,502 1,324,751 3,974,254 1,987,127 5,961,382 2,980,691 8,942,074 4,471,037 13,413,112 6,706,556 3,353,278 1,676,639 5,029,918 2,514,959 7,544,878 3,772,439 11,317,318 5,658,659 16,975,978 8,487,989 25,463,968 12,731,984 6,365,992 3,182,996 1,591,498 795,749 2,387,248 1,193,624 596,812 298,406 149,203 447,610 223,805 671,416 335,708 167,854 83,927 251,782 125,891 377,674 188,837 566,512 283,256 141,628 70,814 35,407 106,222 53,111 159,334 79,667 239,002 119,501 358,504 179,252 89,626 44,813 134,440 67,220 33,610

More profiles

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