λ
Prime Ledger

2,122,918

2 × 7 × 151637
Deficient Even Composite

2,122,918 has the prime decomposition 2 × 7 × 151637. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 7 × 151637
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 3,639,312
Proper Divisor Sum 1,516,394
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #2122873 ← → #2122921

Radix Representation

Decimal 2122918
Binary 1000000110010010100110 (22 bits)
Octal 0o10062246
Hexadecimal 0x2064A6

Divisor Catalog (8)

1 2 7 14 151,637 303,274 1,061,459 2,122,918

Collatz Trajectory (104 steps to reach 1)

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

2,122,918 1,061,459 3,184,378 1,592,189 4,776,568 2,388,284 1,194,142 597,071 1,791,214 895,607 2,686,822 1,343,411 4,030,234 2,015,117 6,045,352 3,022,676 1,511,338 755,669 2,267,008 1,133,504 566,752 283,376 141,688 70,844 35,422 17,711 53,134 26,567 79,702 39,851 119,554 59,777 179,332 89,666 44,833 134,500 67,250 33,625 100,876 50,438 25,219 75,658 37,829 113,488 56,744 28,372 14,186 7,093 21,280 10,640 5,320 2,660 1,330 665 1,996 998 499 1,498 749 2,248

More profiles

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