λ
Harmonic Matrix

5,049,769

179 × 28211
Deficient Odd Composite

5,049,769 has digital root 4. The neighboring primes are 5049761 and 5049773; its proper-divisor sum differs from the starting integer by -5,021,378.

Prime Factor Structure

Factorization String 179 × 28211
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 5,078,160
Proper Divisor Sum 28,391
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #5049761 ← → #5049773

Radix Representation

Decimal 5049769
Binary 10011010000110110101001 (23 bits)
Octal 0o23206651
Hexadecimal 0x4D0DA9

Divisor Catalog (4)

1 179 28,211 5,049,769

Collatz Trajectory (157 steps to reach 1)

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

5,049,769 15,149,308 7,574,654 3,787,327 11,361,982 5,680,991 17,042,974 8,521,487 25,564,462 12,782,231 38,346,694 19,173,347 57,520,042 28,760,021 86,280,064 43,140,032 21,570,016 10,785,008 5,392,504 2,696,252 1,348,126 674,063 2,022,190 1,011,095 3,033,286 1,516,643 4,549,930 2,274,965 6,824,896 3,412,448 1,706,224 853,112 426,556 213,278 106,639 319,918 159,959 479,878 239,939 719,818 359,909 1,079,728 539,864 269,932 134,966 67,483 202,450 101,225 303,676 151,838 75,919 227,758 113,879 341,638 170,819 512,458 256,229 768,688 384,344 192,172

More profiles

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