λ
Harmonic Matrix

5,006,246

2 × 7 × 353 × 1013
Deficient Even Composite

5,006,246 has digital root 5. The neighboring primes are 5006237 and 5006269; its proper-divisor sum differs from the starting integer by -1,397,548.

Prime Factor Structure

Factorization String 2 × 7 × 353 × 1013
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 8,614,944
Proper Divisor Sum 3,608,698
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #5006237 ← → #5006269

Radix Representation

Decimal 5006246
Binary 10011000110001110100110 (23 bits)
Octal 0o23061646
Hexadecimal 0x4C63A6

Divisor Catalog (16)

1 2 7 14 353 706 1,013 2,026 2,471 4,942 7,091 14,182 357,589 715,178 2,503,123 5,006,246

Collatz Trajectory (82 steps to reach 1)

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

5,006,246 2,503,123 7,509,370 3,754,685 11,264,056 5,632,028 2,816,014 1,408,007 4,224,022 2,112,011 6,336,034 3,168,017 9,504,052 4,752,026 2,376,013 7,128,040 3,564,020 1,782,010 891,005 2,673,016 1,336,508 668,254 334,127 1,002,382 501,191 1,503,574 751,787 2,255,362 1,127,681 3,383,044 1,691,522 845,761 2,537,284 1,268,642 634,321 1,902,964 951,482 475,741 1,427,224 713,612 356,806 178,403 535,210 267,605 802,816 401,408 200,704 100,352 50,176 25,088 12,544 6,272 3,136 1,568 784 392 196 98 49 148

More profiles

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