λ
Harmonic Matrix

4,176,054

2 × 32 × 232003
Abundant Even Composite

4,176,054 has digital root 9. The neighboring primes are 4176049 and 4176061; its proper-divisor sum differs from the starting integer by 696,048.

Prime Factor Structure

Factorization String 2 × 3^2 × 232003
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 9,048,156
Proper Divisor Sum 4,872,102
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #4176049 ← → #4176061

Radix Representation

Decimal 4176054
Binary 1111111011100010110110 (22 bits)
Octal 0o17734266
Hexadecimal 0x3FB8B6

Divisor Catalog (12)

1 2 3 6 9 18 232,003 464,006 696,009 1,392,018 2,088,027 4,176,054

Collatz Trajectory (211 steps to reach 1)

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

4,176,054 2,088,027 6,264,082 3,132,041 9,396,124 4,698,062 2,349,031 7,047,094 3,523,547 10,570,642 5,285,321 15,855,964 7,927,982 3,963,991 11,891,974 5,945,987 17,837,962 8,918,981 26,756,944 13,378,472 6,689,236 3,344,618 1,672,309 5,016,928 2,508,464 1,254,232 627,116 313,558 156,779 470,338 235,169 705,508 352,754 176,377 529,132 264,566 132,283 396,850 198,425 595,276 297,638 148,819 446,458 223,229 669,688 334,844 167,422 83,711 251,134 125,567 376,702 188,351 565,054 282,527 847,582 423,791 1,271,374 635,687 1,907,062 953,531

More profiles

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