λ
Prime Ledger

2,121,994

2 × 72 × 59 × 367
Deficient Even Composite

2,121,994 has the prime decomposition 2 × 7^2 × 59 × 367. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2 × 7^2 × 59 × 367
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 3,775,680
Proper Divisor Sum 1,653,686
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #2121989 ← → #2122009

Radix Representation

Decimal 2121994
Binary 1000000110000100001010 (22 bits)
Octal 0o10060412
Hexadecimal 0x20610A

Divisor Catalog (24)

1 2 7 14 49 59 98 118 367 413 734 826 2,569 2,891 5,138 5,782 17,983 21,653 35,966 43,306 151,571 303,142 1,060,997 2,121,994

Collatz Trajectory (104 steps to reach 1)

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

2,121,994 1,060,997 3,182,992 1,591,496 795,748 397,874 198,937 596,812 298,406 149,203 447,610 223,805 671,416 335,708 167,854 83,927 251,782 125,891 377,674 188,837 566,512 283,256 141,628 70,814 35,407 106,222 53,111 159,334 79,667 239,002 119,501 358,504 179,252 89,626 44,813 134,440 67,220 33,610 16,805 50,416 25,208 12,604 6,302 3,151 9,454 4,727 14,182 7,091 21,274 10,637 31,912 15,956 7,978 3,989 11,968 5,984 2,992 1,496 748 374

More profiles

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