λ
Harmonic Matrix

1,632,656

24 × 67 × 1523
Deficient Even Composite

1,632,656 has digital root 2. The neighboring primes are 1632649 and 1632679; its proper-divisor sum differs from the starting integer by -52,720.

Prime Factor Structure

Factorization String 2^4 × 67 × 1523
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 3,212,592
Proper Divisor Sum 1,579,936
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #1632649 ← → #1632679

Radix Representation

Decimal 1632656
Binary 110001110100110010000 (21 bits)
Octal 0o6164620
Hexadecimal 0x18E990

Divisor Catalog (20)

1 2 4 8 16 67 134 268 536 1,072 1,523 3,046 6,092 12,184 24,368 102,041 204,082 408,164 816,328 1,632,656

Collatz Trajectory (101 steps to reach 1)

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

1,632,656 816,328 408,164 204,082 102,041 306,124 153,062 76,531 229,594 114,797 344,392 172,196 86,098 43,049 129,148 64,574 32,287 96,862 48,431 145,294 72,647 217,942 108,971 326,914 163,457 490,372 245,186 122,593 367,780 183,890 91,945 275,836 137,918 68,959 206,878 103,439 310,318 155,159 465,478 232,739 698,218 349,109 1,047,328 523,664 261,832 130,916 65,458 32,729 98,188 49,094 24,547 73,642 36,821 110,464 55,232 27,616 13,808 6,904 3,452 1,726

More profiles

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