263,768

2³ × 32971

263,768 has the prime decomposition 2^3 × 32971. Its 2 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 32971

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 494,580

Proper Divisor Sum 230,812

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #263761 ← → #263803

Radix Representation

Decimal	263768
Binary	1000000011001011000 (19 bits)
Octal	0o1003130
Hexadecimal	0x40658

Divisor Catalog (8)

1 2 4 8 32,971 65,942 131,884 263,768

Collatz Trajectory (163 steps to reach 1)

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

263,768 131,884 65,942 32,971 98,914 49,457 148,372 74,186 37,093 111,280 55,640 27,820 13,910 6,955 20,866 10,433 31,300 15,650 7,825 23,476 11,738 5,869 17,608 8,804 4,402 2,201 6,604 3,302 1,651 4,954 2,477 7,432 3,716 1,858 929 2,788 1,394 697 2,092 1,046 523 1,570 785 2,356 1,178 589 1,768 884 442 221 664 332 166 83 250 125 376 188 94 47

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