λ
Prime Ledger

470,284

22 × 117571
Deficient Even Composite

470,284 has the prime decomposition 2^2 × 117571. Its 2 distinct prime factors produce 6 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 117571
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 823,004
Proper Divisor Sum 352,720
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #470279 ← → #470297

Radix Representation

Decimal 470284
Binary 1110010110100001100 (19 bits)
Octal 0o1626414
Hexadecimal 0x72D0C

Divisor Catalog (6)

1 2 4 117,571 235,142 470,284

Collatz Trajectory (151 steps to reach 1)

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

470,284 235,142 117,571 352,714 176,357 529,072 264,536 132,268 66,134 33,067 99,202 49,601 148,804 74,402 37,201 111,604 55,802 27,901 83,704 41,852 20,926 10,463 31,390 15,695 47,086 23,543 70,630 35,315 105,946 52,973 158,920 79,460 39,730 19,865 59,596 29,798 14,899 44,698 22,349 67,048 33,524 16,762 8,381 25,144 12,572 6,286 3,143 9,430 4,715 14,146 7,073 21,220 10,610 5,305 15,916 7,958 3,979 11,938 5,969 17,908

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