λ
Harmonic Matrix

5,048,762

2 × 17 × 163 × 911
Deficient Even Composite

5,048,762 has digital root 5. The neighboring primes are 5048749 and 5048767; its proper-divisor sum differs from the starting integer by -2,020,852.

Prime Factor Structure

Factorization String 2 × 17 × 163 × 911
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 8,076,672
Proper Divisor Sum 3,027,910
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #5048749 ← → #5048767

Radix Representation

Decimal 5048762
Binary 10011010000100110111010 (23 bits)
Octal 0o23204672
Hexadecimal 0x4D09BA

Divisor Catalog (16)

1 2 17 34 163 326 911 1,822 2,771 5,542 15,487 30,974 148,493 296,986 2,524,381 5,048,762

Collatz Trajectory (69 steps to reach 1)

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

5,048,762 2,524,381 7,573,144 3,786,572 1,893,286 946,643 2,839,930 1,419,965 4,259,896 2,129,948 1,064,974 532,487 1,597,462 798,731 2,396,194 1,198,097 3,594,292 1,797,146 898,573 2,695,720 1,347,860 673,930 336,965 1,010,896 505,448 252,724 126,362 63,181 189,544 94,772 47,386 23,693 71,080 35,540 17,770 8,885 26,656 13,328 6,664 3,332 1,666 833 2,500 1,250 625 1,876 938 469 1,408 704 352 176 88 44 22 11 34 17 52 26

More profiles

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