λ
Prime Ledger

2,174,841

32 × 167 × 1447
Deficient Odd Composite

2,174,841 has the prime decomposition 3^2 × 167 × 1447. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 167 × 1447
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 3,162,432
Proper Divisor Sum 987,591
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #2174807 ← → #2174891

Radix Representation

Decimal 2174841
Binary 1000010010111101111001 (22 bits)
Octal 0o10227571
Hexadecimal 0x212F79

Divisor Catalog (12)

1 3 9 167 501 1,447 1,503 4,341 13,023 241,649 724,947 2,174,841

Collatz Trajectory (117 steps to reach 1)

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

2,174,841 6,524,524 3,262,262 1,631,131 4,893,394 2,446,697 7,340,092 3,670,046 1,835,023 5,505,070 2,752,535 8,257,606 4,128,803 12,386,410 6,193,205 18,579,616 9,289,808 4,644,904 2,322,452 1,161,226 580,613 1,741,840 870,920 435,460 217,730 108,865 326,596 163,298 81,649 244,948 122,474 61,237 183,712 91,856 45,928 22,964 11,482 5,741 17,224 8,612 4,306 2,153 6,460 3,230 1,615 4,846 2,423 7,270 3,635 10,906 5,453 16,360 8,180 4,090 2,045 6,136 3,068 1,534 767 2,302

More profiles

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