λ
Harmonic Matrix

5,098,789

5098789
Deficient Odd Prime

5,098,789 has digital root 1. The neighboring primes are 5098771 and 5098799; its proper-divisor sum differs from the starting integer by -5,098,788.

Prime Factor Structure

Factorization String 5098789
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 5,098,790
Proper Divisor Sum 1
Digit Sum / Digital Root 46 (Root: 1)
Adjacent Primes #5098771 ← → #5098799

Radix Representation

Decimal 5098789
Binary 10011011100110100100101 (23 bits)
Octal 0o23346445
Hexadecimal 0x4DCD25

Divisor Catalog (2)

Collatz Trajectory (206 steps to reach 1)

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

5,098,789 15,296,368 7,648,184 3,824,092 1,912,046 956,023 2,868,070 1,434,035 4,302,106 2,151,053 6,453,160 3,226,580 1,613,290 806,645 2,419,936 1,209,968 604,984 302,492 151,246 75,623 226,870 113,435 340,306 170,153 510,460 255,230 127,615 382,846 191,423 574,270 287,135 861,406 430,703 1,292,110 646,055 1,938,166 969,083 2,907,250 1,453,625 4,360,876 2,180,438 1,090,219 3,270,658 1,635,329 4,905,988 2,452,994 1,226,497 3,679,492 1,839,746 919,873 2,759,620 1,379,810 689,905 2,069,716 1,034,858 517,429 1,552,288 776,144 388,072 194,036

More profiles

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