λ
Harmonic Matrix

4,672,964

22 × 1168241
Deficient Even Composite

4,672,964 has digital root 2. The neighboring primes are 4672963 and 4673003; its proper-divisor sum differs from the starting integer by -1,168,234.

Prime Factor Structure

Factorization String 2^2 × 1168241
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 8,177,694
Proper Divisor Sum 3,504,730
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #4672963 ← → #4673003

Radix Representation

Decimal 4672964
Binary 10001110100110111000100 (23 bits)
Octal 0o21646704
Hexadecimal 0x474DC4

Divisor Catalog (6)

1 2 4 1,168,241 2,336,482 4,672,964

Collatz Trajectory (224 steps to reach 1)

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

4,672,964 2,336,482 1,168,241 3,504,724 1,752,362 876,181 2,628,544 1,314,272 657,136 328,568 164,284 82,142 41,071 123,214 61,607 184,822 92,411 277,234 138,617 415,852 207,926 103,963 311,890 155,945 467,836 233,918 116,959 350,878 175,439 526,318 263,159 789,478 394,739 1,184,218 592,109 1,776,328 888,164 444,082 222,041 666,124 333,062 166,531 499,594 249,797 749,392 374,696 187,348 93,674 46,837 140,512 70,256 35,128 17,564 8,782 4,391 13,174 6,587 19,762 9,881 29,644

More profiles

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