λ
Prime Ledger

6,829,421

53 × 128857
Deficient Odd Composite

6,829,421 has the prime decomposition 53 × 128857. Its 2 distinct prime factors produce 4 positive divisors.

Prime Factor Structure

Factorization String 53 × 128857
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 6,958,332
Proper Divisor Sum 128,911
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #6829397 ← → #6829439

Radix Representation

Decimal 6829421
Binary 11010000011010101101101 (23 bits)
Octal 0o32032555
Hexadecimal 0x68356D

Divisor Catalog (4)

1 53 128,857 6,829,421

Collatz Trajectory (222 steps to reach 1)

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

6,829,421 20,488,264 10,244,132 5,122,066 2,561,033 7,683,100 3,841,550 1,920,775 5,762,326 2,881,163 8,643,490 4,321,745 12,965,236 6,482,618 3,241,309 9,723,928 4,861,964 2,430,982 1,215,491 3,646,474 1,823,237 5,469,712 2,734,856 1,367,428 683,714 341,857 1,025,572 512,786 256,393 769,180 384,590 192,295 576,886 288,443 865,330 432,665 1,297,996 648,998 324,499 973,498 486,749 1,460,248 730,124 365,062 182,531 547,594 273,797 821,392 410,696 205,348 102,674 51,337 154,012 77,006 38,503 115,510 57,755 173,266 86,633 259,900

More profiles

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