λ
Harmonic Matrix

5,029,010

2 × 5 × 7 × 71843
Abundant Even Composite

5,029,010 has digital root 8. The neighboring primes are 5029009 and 5029027; its proper-divisor sum differs from the starting integer by 287,516.

Prime Factor Structure

Factorization String 2 × 5 × 7 × 71843
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 10,345,536
Proper Divisor Sum 5,316,526
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #5029009 ← → #5029027

Radix Representation

Decimal 5029010
Binary 10011001011110010010010 (23 bits)
Octal 0o23136222
Hexadecimal 0x4CBC92

Divisor Catalog (16)

1 2 5 7 10 14 35 70 71,843 143,686 359,215 502,901 718,430 1,005,802 2,514,505 5,029,010

Collatz Trajectory (206 steps to reach 1)

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

5,029,010 2,514,505 7,543,516 3,771,758 1,885,879 5,657,638 2,828,819 8,486,458 4,243,229 12,729,688 6,364,844 3,182,422 1,591,211 4,773,634 2,386,817 7,160,452 3,580,226 1,790,113 5,370,340 2,685,170 1,342,585 4,027,756 2,013,878 1,006,939 3,020,818 1,510,409 4,531,228 2,265,614 1,132,807 3,398,422 1,699,211 5,097,634 2,548,817 7,646,452 3,823,226 1,911,613 5,734,840 2,867,420 1,433,710 716,855 2,150,566 1,075,283 3,225,850 1,612,925 4,838,776 2,419,388 1,209,694 604,847 1,814,542 907,271 2,721,814 1,360,907 4,082,722 2,041,361 6,124,084 3,062,042 1,531,021 4,593,064 2,296,532 1,148,266

More profiles

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