λ
Prime Ledger

58,034

2 × 29017
Deficient Even Composite

58,034 has the prime decomposition 2 × 29017. Its 2 distinct prime factors produce 4 positive divisors.

Prime Factor Structure

Factorization String 2 × 29017
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 87,054
Proper Divisor Sum 29,020
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #58031 ← → #58043

Radix Representation

Decimal 58034
Binary 1110001010110010 (16 bits)
Octal 0o161262
Hexadecimal 0xE2B2

Divisor Catalog (4)

1 2 29,017 58,034

Collatz Trajectory (184 steps to reach 1)

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

58,034 29,017 87,052 43,526 21,763 65,290 32,645 97,936 48,968 24,484 12,242 6,121 18,364 9,182 4,591 13,774 6,887 20,662 10,331 30,994 15,497 46,492 23,246 11,623 34,870 17,435 52,306 26,153 78,460 39,230 19,615 58,846 29,423 88,270 44,135 132,406 66,203 198,610 99,305 297,916 148,958 74,479 223,438 111,719 335,158 167,579 502,738 251,369 754,108 377,054 188,527 565,582 282,791 848,374 424,187 1,272,562 636,281 1,908,844 954,422 477,211

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