λ
Harmonic Matrix

4,264,072

23 × 533009
Deficient Even Composite

4,264,072 has digital root 7. The neighboring primes are 4264069 and 4264109; its proper-divisor sum differs from the starting integer by -532,994.

Prime Factor Structure

Factorization String 2^3 × 533009
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 7,995,150
Proper Divisor Sum 3,731,078
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #4264069 ← → #4264109

Radix Representation

Decimal 4264072
Binary 10000010001000010001000 (23 bits)
Octal 0o20210210
Hexadecimal 0x411088

Divisor Catalog (8)

1 2 4 8 533,009 1,066,018 2,132,036 4,264,072

Collatz Trajectory (74 steps to reach 1)

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

4,264,072 2,132,036 1,066,018 533,009 1,599,028 799,514 399,757 1,199,272 599,636 299,818 149,909 449,728 224,864 112,432 56,216 28,108 14,054 7,027 21,082 10,541 31,624 15,812 7,906 3,953 11,860 5,930 2,965 8,896 4,448 2,224 1,112 556 278 139 418 209 628 314 157 472 236 118 59 178 89 268 134 67 202 101 304 152 76 38 19 58 29 88 44 22

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