λ
Prime Ledger

2,159,381

72 × 127 × 347
Deficient Odd Composite

2,159,381 has the prime decomposition 7^2 × 127 × 347. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 7^2 × 127 × 347
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 2,539,008
Proper Divisor Sum 379,627
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #2159363 ← → #2159383

Radix Representation

Decimal 2159381
Binary 1000001111001100010101 (22 bits)
Octal 0o10171425
Hexadecimal 0x20F315

Divisor Catalog (12)

1 7 49 127 347 889 2,429 6,223 17,003 44,069 308,483 2,159,381

Collatz Trajectory (166 steps to reach 1)

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

2,159,381 6,478,144 3,239,072 1,619,536 809,768 404,884 202,442 101,221 303,664 151,832 75,916 37,958 18,979 56,938 28,469 85,408 42,704 21,352 10,676 5,338 2,669 8,008 4,004 2,002 1,001 3,004 1,502 751 2,254 1,127 3,382 1,691 5,074 2,537 7,612 3,806 1,903 5,710 2,855 8,566 4,283 12,850 6,425 19,276 9,638 4,819 14,458 7,229 21,688 10,844 5,422 2,711 8,134 4,067 12,202 6,101 18,304 9,152 4,576 2,288

More profiles

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