λ
Prime Ledger

293,363

72 × 5987
Deficient Odd Composite

293,363 has the prime decomposition 7^2 × 5987. Its 2 distinct prime factors produce 6 positive divisors.

Prime Factor Structure

Factorization String 7^2 × 5987
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 341,316
Proper Divisor Sum 47,953
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #293357 ← → #293399

Radix Representation

Decimal 293363
Binary 1000111100111110011 (19 bits)
Octal 0o1074763
Hexadecimal 0x479F3

Divisor Catalog (6)

1 7 49 5,987 41,909 293,363

Collatz Trajectory (96 steps to reach 1)

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

293,363 880,090 440,045 1,320,136 660,068 330,034 165,017 495,052 247,526 123,763 371,290 185,645 556,936 278,468 139,234 69,617 208,852 104,426 52,213 156,640 78,320 39,160 19,580 9,790 4,895 14,686 7,343 22,030 11,015 33,046 16,523 49,570 24,785 74,356 37,178 18,589 55,768 27,884 13,942 6,971 20,914 10,457 31,372 15,686 7,843 23,530 11,765 35,296 17,648 8,824 4,412 2,206 1,103 3,310 1,655 4,966 2,483 7,450 3,725 11,176

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