λ
Prime Ledger

34,478

2 × 17239
Deficient Even Composite

34,478 has the prime decomposition 2 × 17239. Its 2 distinct prime factors produce 4 positive divisors.

Prime Factor Structure

Factorization String 2 × 17239
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 51,720
Proper Divisor Sum 17,242
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #34471 ← → #34483

Radix Representation

Decimal 34478
Binary 1000011010101110 (16 bits)
Octal 0o103256
Hexadecimal 0x86AE

Divisor Catalog (4)

1 2 17,239 34,478

Collatz Trajectory (142 steps to reach 1)

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

34,478 17,239 51,718 25,859 77,578 38,789 116,368 58,184 29,092 14,546 7,273 21,820 10,910 5,455 16,366 8,183 24,550 12,275 36,826 18,413 55,240 27,620 13,810 6,905 20,716 10,358 5,179 15,538 7,769 23,308 11,654 5,827 17,482 8,741 26,224 13,112 6,556 3,278 1,639 4,918 2,459 7,378 3,689 11,068 5,534 2,767 8,302 4,151 12,454 6,227 18,682 9,341 28,024 14,012 7,006 3,503 10,510 5,255 15,766 7,883

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