λ
Prime Ledger

2,178,804

22 × 3 × 31 × 5857
Abundant Even Composite

2,178,804 has the prime decomposition 2^2 × 3 × 31 × 5857. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 31 × 5857
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 5,248,768
Proper Divisor Sum 3,069,964
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #2178797 ← → #2178823

Radix Representation

Decimal 2178804
Binary 1000010011111011110100 (22 bits)
Octal 0o10237364
Hexadecimal 0x213EF4

Divisor Catalog (24)

1 2 3 4 6 12 31 62 93 124 186 372 5,857 11,714 17,571 23,428 35,142 70,284 181,567 363,134 544,701 726,268 1,089,402 2,178,804

Collatz Trajectory (91 steps to reach 1)

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

2,178,804 1,089,402 544,701 1,634,104 817,052 408,526 204,263 612,790 306,395 919,186 459,593 1,378,780 689,390 344,695 1,034,086 517,043 1,551,130 775,565 2,326,696 1,163,348 581,674 290,837 872,512 436,256 218,128 109,064 54,532 27,266 13,633 40,900 20,450 10,225 30,676 15,338 7,669 23,008 11,504 5,752 2,876 1,438 719 2,158 1,079 3,238 1,619 4,858 2,429 7,288 3,644 1,822 911 2,734 1,367 4,102 2,051 6,154 3,077 9,232 4,616 2,308

More profiles

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