λ
Prime Ledger

2,246,804

22 × 7 × 29 × 2767
Abundant Even Composite

2,246,804 has the prime decomposition 2^2 × 7 × 29 × 2767. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 7 × 29 × 2767
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 4,650,240
Proper Divisor Sum 2,403,436
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #2246791 ← → #2246831

Radix Representation

Decimal 2246804
Binary 1000100100100010010100 (22 bits)
Octal 0o10444224
Hexadecimal 0x224894

Divisor Catalog (24)

1 2 4 7 14 28 29 58 116 203 406 812 2,767 5,534 11,068 19,369 38,738 77,476 80,243 160,486 320,972 561,701 1,123,402 2,246,804

Collatz Trajectory (109 steps to reach 1)

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

2,246,804 1,123,402 561,701 1,685,104 842,552 421,276 210,638 105,319 315,958 157,979 473,938 236,969 710,908 355,454 177,727 533,182 266,591 799,774 399,887 1,199,662 599,831 1,799,494 899,747 2,699,242 1,349,621 4,048,864 2,024,432 1,012,216 506,108 253,054 126,527 379,582 189,791 569,374 284,687 854,062 427,031 1,281,094 640,547 1,921,642 960,821 2,882,464 1,441,232 720,616 360,308 180,154 90,077 270,232 135,116 67,558 33,779 101,338 50,669 152,008 76,004 38,002 19,001 57,004 28,502 14,251

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