λ
Prime Ledger

2,348,145

32 × 5 × 52181
Deficient Odd Composite

2,348,145 has the prime decomposition 3^2 × 5 × 52181. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 5 × 52181
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 4,070,196
Proper Divisor Sum 1,722,051
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #2348123 ← → #2348161

Radix Representation

Decimal 2348145
Binary 1000111101010001110001 (22 bits)
Octal 0o10752161
Hexadecimal 0x23D471

Divisor Catalog (12)

1 3 5 9 15 45 52,181 156,543 260,905 469,629 782,715 2,348,145

Collatz Trajectory (161 steps to reach 1)

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

2,348,145 7,044,436 3,522,218 1,761,109 5,283,328 2,641,664 1,320,832 660,416 330,208 165,104 82,552 41,276 20,638 10,319 30,958 15,479 46,438 23,219 69,658 34,829 104,488 52,244 26,122 13,061 39,184 19,592 9,796 4,898 2,449 7,348 3,674 1,837 5,512 2,756 1,378 689 2,068 1,034 517 1,552 776 388 194 97 292 146 73 220 110 55 166 83 250 125 376 188 94 47 142 71

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