λ
Prime Ledger

2,139,159

3 × 112 × 71 × 83
Deficient Odd Composite

2,139,159 has the prime decomposition 3 × 11^2 × 71 × 83. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 3 × 11^2 × 71 × 83
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 3,217,536
Proper Divisor Sum 1,078,377
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #2139157 ← → #2139167

Radix Representation

Decimal 2139159
Binary 1000001010010000010111 (22 bits)
Octal 0o10122027
Hexadecimal 0x20A417

Divisor Catalog (24)

1 3 11 33 71 83 121 213 249 363 781 913 2,343 2,739 5,893 8,591 10,043 17,679 25,773 30,129 64,823 194,469 713,053 2,139,159

Collatz Trajectory (148 steps to reach 1)

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

2,139,159 6,417,478 3,208,739 9,626,218 4,813,109 14,439,328 7,219,664 3,609,832 1,804,916 902,458 451,229 1,353,688 676,844 338,422 169,211 507,634 253,817 761,452 380,726 190,363 571,090 285,545 856,636 428,318 214,159 642,478 321,239 963,718 481,859 1,445,578 722,789 2,168,368 1,084,184 542,092 271,046 135,523 406,570 203,285 609,856 304,928 152,464 76,232 38,116 19,058 9,529 28,588 14,294 7,147 21,442 10,721 32,164 16,082 8,041 24,124 12,062 6,031 18,094 9,047 27,142 13,571

More profiles

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