λ
Harmonic Matrix

4,468,388

22 × 43 × 83 × 313
Deficient Even Composite

4,468,388 has digital root 5. The neighboring primes are 4468369 and 4468393; its proper-divisor sum differs from the starting integer by -812,968.

Prime Factor Structure

Factorization String 2^2 × 43 × 83 × 313
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 8,123,808
Proper Divisor Sum 3,655,420
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #4468369 ← → #4468393

Radix Representation

Decimal 4468388
Binary 10001000010111010100100 (23 bits)
Octal 0o21027244
Hexadecimal 0x442EA4

Divisor Catalog (24)

1 2 4 43 83 86 166 172 313 332 626 1,252 3,569 7,138 13,459 14,276 25,979 26,918 51,958 53,836 103,916 1,117,097 2,234,194 4,468,388

Collatz Trajectory (118 steps to reach 1)

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

4,468,388 2,234,194 1,117,097 3,351,292 1,675,646 837,823 2,513,470 1,256,735 3,770,206 1,885,103 5,655,310 2,827,655 8,482,966 4,241,483 12,724,450 6,362,225 19,086,676 9,543,338 4,771,669 14,315,008 7,157,504 3,578,752 1,789,376 894,688 447,344 223,672 111,836 55,918 27,959 83,878 41,939 125,818 62,909 188,728 94,364 47,182 23,591 70,774 35,387 106,162 53,081 159,244 79,622 39,811 119,434 59,717 179,152 89,576 44,788 22,394 11,197 33,592 16,796 8,398 4,199 12,598 6,299 18,898 9,449 28,348

More profiles

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