λ
Sequence Observatory
Atlas › Integer Profiles › Node 76,293

76,293

32 × 72 × 173
Deficient Odd Composite

Starting at 76,293, the Collatz iteration reaches 1 after 55 steps. The first transition is 228880; the starting value is odd with 18 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 7^2 × 173
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 18
Divisor Sum (σ) 128,934
Proper Divisor Sum 52,641
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #76289 ← → #76303

Radix Representation

Decimal 76293
Binary 10010101000000101 (17 bits)
Octal 0o225005
Hexadecimal 0x12A05

Divisor Catalog (18)

1 3 7 9 21 49 63 147 173 441 519 1,211 1,557 3,633 8,477 10,899 25,431 76,293

Collatz Trajectory (55 steps to reach 1)

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

76,293 228,880 114,440 57,220 28,610 14,305 42,916 21,458 10,729 32,188 16,094 8,047 24,142 12,071 36,214 18,107 54,322 27,161 81,484 40,742 20,371 61,114 30,557 91,672 45,836 22,918 11,459 34,378 17,189 51,568 25,784 12,892 6,446 3,223 9,670 4,835 14,506 7,253 21,760 10,880 5,440 2,720 1,360 680 340 170 85 256 128 64 32 16 8 4 2 1

More profiles

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