λ
Harmonic Matrix

5,134,015

5 × 29 × 35407
Deficient Odd Composite

5,134,015 has digital root 1. The neighboring primes are 5134013 and 5134039; its proper-divisor sum differs from the starting integer by -3,894,590.

Prime Factor Structure

Factorization String 5 × 29 × 35407
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 6,373,440
Proper Divisor Sum 1,239,425
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #5134013 ← → #5134039

Radix Representation

Decimal 5134015
Binary 10011100101011010111111 (23 bits)
Octal 0o23453277
Hexadecimal 0x4E56BF

Divisor Catalog (8)

1 5 29 145 35,407 177,035 1,026,803 5,134,015

Collatz Trajectory (175 steps to reach 1)

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

5,134,015 15,402,046 7,701,023 23,103,070 11,551,535 34,654,606 17,327,303 51,981,910 25,990,955 77,972,866 38,986,433 116,959,300 58,479,650 29,239,825 87,719,476 43,859,738 21,929,869 65,789,608 32,894,804 16,447,402 8,223,701 24,671,104 12,335,552 6,167,776 3,083,888 1,541,944 770,972 385,486 192,743 578,230 289,115 867,346 433,673 1,301,020 650,510 325,255 975,766 487,883 1,463,650 731,825 2,195,476 1,097,738 548,869 1,646,608 823,304 411,652 205,826 102,913 308,740 154,370 77,185 231,556 115,778 57,889 173,668 86,834 43,417 130,252 65,126 32,563

More profiles

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