λ
Harmonic Matrix

4,663,472

24 × 11 × 26497
Abundant Even Composite

4,663,472 has digital root 5. The neighboring primes are 4663447 and 4663499; its proper-divisor sum differs from the starting integer by 530,312.

Prime Factor Structure

Factorization String 2^4 × 11 × 26497
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 9,857,256
Proper Divisor Sum 5,193,784
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #4663447 ← → #4663499

Radix Representation

Decimal 4663472
Binary 10001110010100010110000 (23 bits)
Octal 0o21624260
Hexadecimal 0x4728B0

Divisor Catalog (20)

1 2 4 8 11 16 22 44 88 176 26,497 52,994 105,988 211,976 291,467 423,952 582,934 1,165,868 2,331,736 4,663,472

Collatz Trajectory (100 steps to reach 1)

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

4,663,472 2,331,736 1,165,868 582,934 291,467 874,402 437,201 1,311,604 655,802 327,901 983,704 491,852 245,926 122,963 368,890 184,445 553,336 276,668 138,334 69,167 207,502 103,751 311,254 155,627 466,882 233,441 700,324 350,162 175,081 525,244 262,622 131,311 393,934 196,967 590,902 295,451 886,354 443,177 1,329,532 664,766 332,383 997,150 498,575 1,495,726 747,863 2,243,590 1,121,795 3,365,386 1,682,693 5,048,080 2,524,040 1,262,020 631,010 315,505 946,516 473,258 236,629 709,888 354,944 177,472

More profiles

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