λ
Prime Ledger

2,871,996

22 × 3 × 239333
Abundant Even Composite

2,871,996 has the prime decomposition 2^2 × 3 × 239333. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 239333
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 6,701,352
Proper Divisor Sum 3,829,356
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #2871991 ← → #2872003

Radix Representation

Decimal 2871996
Binary 1010111101001010111100 (22 bits)
Octal 0o12751274
Hexadecimal 0x2BD2BC

Divisor Catalog (12)

1 2 3 4 6 12 239,333 478,666 717,999 957,332 1,435,998 2,871,996

Collatz Trajectory (213 steps to reach 1)

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

2,871,996 1,435,998 717,999 2,153,998 1,076,999 3,230,998 1,615,499 4,846,498 2,423,249 7,269,748 3,634,874 1,817,437 5,452,312 2,726,156 1,363,078 681,539 2,044,618 1,022,309 3,066,928 1,533,464 766,732 383,366 191,683 575,050 287,525 862,576 431,288 215,644 107,822 53,911 161,734 80,867 242,602 121,301 363,904 181,952 90,976 45,488 22,744 11,372 5,686 2,843 8,530 4,265 12,796 6,398 3,199 9,598 4,799 14,398 7,199 21,598 10,799 32,398 16,199 48,598 24,299 72,898 36,449 109,348

More profiles

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