λ
Prime Ledger

2,370,177

32 × 389 × 677
Deficient Odd Composite

2,370,177 has the prime decomposition 3^2 × 389 × 677. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 389 × 677
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 3,437,460
Proper Divisor Sum 1,067,283
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #2370149 ← → #2370197

Radix Representation

Decimal 2370177
Binary 1001000010101010000001 (22 bits)
Octal 0o11025201
Hexadecimal 0x242A81

Divisor Catalog (12)

1 3 9 389 677 1,167 2,031 3,501 6,093 263,353 790,059 2,370,177

Collatz Trajectory (267 steps to reach 1)

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

2,370,177 7,110,532 3,555,266 1,777,633 5,332,900 2,666,450 1,333,225 3,999,676 1,999,838 999,919 2,999,758 1,499,879 4,499,638 2,249,819 6,749,458 3,374,729 10,124,188 5,062,094 2,531,047 7,593,142 3,796,571 11,389,714 5,694,857 17,084,572 8,542,286 4,271,143 12,813,430 6,406,715 19,220,146 9,610,073 28,830,220 14,415,110 7,207,555 21,622,666 10,811,333 32,434,000 16,217,000 8,108,500 4,054,250 2,027,125 6,081,376 3,040,688 1,520,344 760,172 380,086 190,043 570,130 285,065 855,196 427,598 213,799 641,398 320,699 962,098 481,049 1,443,148 721,574 360,787 1,082,362 541,181

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