λ
Harmonic Matrix

4,918,092

22 × 3 × 409841
Abundant Even Composite

4,918,092 has digital root 6. The neighboring primes are 4918091 and 4918097; its proper-divisor sum differs from the starting integer by 1,639,392.

Prime Factor Structure

Factorization String 2^2 × 3 × 409841
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 11,475,576
Proper Divisor Sum 6,557,484
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #4918091 ← → #4918097

Radix Representation

Decimal 4918092
Binary 10010110000101101001100 (23 bits)
Octal 0o22605514
Hexadecimal 0x4B0B4C

Divisor Catalog (12)

1 2 3 4 6 12 409,841 819,682 1,229,523 1,639,364 2,459,046 4,918,092

Collatz Trajectory (281 steps to reach 1)

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

4,918,092 2,459,046 1,229,523 3,688,570 1,844,285 5,532,856 2,766,428 1,383,214 691,607 2,074,822 1,037,411 3,112,234 1,556,117 4,668,352 2,334,176 1,167,088 583,544 291,772 145,886 72,943 218,830 109,415 328,246 164,123 492,370 246,185 738,556 369,278 184,639 553,918 276,959 830,878 415,439 1,246,318 623,159 1,869,478 934,739 2,804,218 1,402,109 4,206,328 2,103,164 1,051,582 525,791 1,577,374 788,687 2,366,062 1,183,031 3,549,094 1,774,547 5,323,642 2,661,821 7,985,464 3,992,732 1,996,366 998,183 2,994,550 1,497,275 4,491,826 2,245,913 6,737,740

More profiles

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