λ
Harmonic Matrix

6,046,218

2 × 33 × 19 × 71 × 83
Abundant Even Composite

6,046,218 has digital root 9. The neighboring primes are 6046213 and 6046219; its proper-divisor sum differs from the starting integer by 2,422,764.

Prime Factor Structure

Factorization String 2 × 3^3 × 19 × 71 × 83
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 14,515,200
Proper Divisor Sum 8,468,982
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #6046213 ← → #6046219

Radix Representation

Decimal 6046218
Binary 10111000100001000001010 (23 bits)
Octal 0o27041012
Hexadecimal 0x5C420A

Divisor Catalog (60 of 64)

1 2 3 6 9 18 19 27 38 54 57 71 83 114 142 166 171 213 249 342 426 498 513 639 747 1,026 1,278 1,349 1,494 1,577 1,917 2,241 2,698 3,154 3,834 4,047 4,482 4,731 5,893 8,094 9,462 11,786 12,141 14,193 17,679 24,282 28,386 35,358 36,423 42,579 53,037 72,846 85,158 106,074 111,967 159,111 223,934 318,222 335,901 671,802

Collatz Trajectory (90 steps to reach 1)

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

6,046,218 3,023,109 9,069,328 4,534,664 2,267,332 1,133,666 566,833 1,700,500 850,250 425,125 1,275,376 637,688 318,844 159,422 79,711 239,134 119,567 358,702 179,351 538,054 269,027 807,082 403,541 1,210,624 605,312 302,656 151,328 75,664 37,832 18,916 9,458 4,729 14,188 7,094 3,547 10,642 5,321 15,964 7,982 3,991 11,974 5,987 17,962 8,981 26,944 13,472 6,736 3,368 1,684 842 421 1,264 632 316 158 79 238 119 358 179

More profiles

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