λ
Prime Ledger

849,850

2 × 52 × 23 × 739
Deficient Even Composite

849,850 has the prime decomposition 2 × 5^2 × 23 × 739. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2 × 5^2 × 23 × 739
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 1,651,680
Proper Divisor Sum 801,830
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #849839 ← → #849857

Radix Representation

Decimal 849850
Binary 11001111011110111010 (20 bits)
Octal 0o3173672
Hexadecimal 0xCF7BA

Divisor Catalog (24)

1 2 5 10 23 25 46 50 115 230 575 739 1,150 1,478 3,695 7,390 16,997 18,475 33,994 36,950 84,985 169,970 424,925 849,850

Collatz Trajectory (82 steps to reach 1)

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

849,850 424,925 1,274,776 637,388 318,694 159,347 478,042 239,021 717,064 358,532 179,266 89,633 268,900 134,450 67,225 201,676 100,838 50,419 151,258 75,629 226,888 113,444 56,722 28,361 85,084 42,542 21,271 63,814 31,907 95,722 47,861 143,584 71,792 35,896 17,948 8,974 4,487 13,462 6,731 20,194 10,097 30,292 15,146 7,573 22,720 11,360 5,680 2,840 1,420 710 355 1,066 533 1,600 800 400 200 100 50 25

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