λ
Zalai Atlas

333,495

32 × 5 × 7411
Deficient Odd Composite

333,495 has the prime decomposition 3^2 × 5 × 7411. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 5 × 7411
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 578,136
Proper Divisor Sum 244,641
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #333493 ← → #333497

Radix Representation

Decimal 333495
Binary 1010001011010110111 (19 bits)
Octal 0o1213267
Hexadecimal 0x516B7

Divisor Catalog (12)

1 3 5 9 15 45 7,411 22,233 37,055 66,699 111,165 333,495

Collatz Trajectory (91 steps to reach 1)

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

333,495 1,000,486 500,243 1,500,730 750,365 2,251,096 1,125,548 562,774 281,387 844,162 422,081 1,266,244 633,122 316,561 949,684 474,842 237,421 712,264 356,132 178,066 89,033 267,100 133,550 66,775 200,326 100,163 300,490 150,245 450,736 225,368 112,684 56,342 28,171 84,514 42,257 126,772 63,386 31,693 95,080 47,540 23,770 11,885 35,656 17,828 8,914 4,457 13,372 6,686 3,343 10,030 5,015 15,046 7,523 22,570 11,285 33,856 16,928 8,464 4,232 2,116

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