λ
Prime Ledger

2,964,009

3 × 173 × 5711
Deficient Odd Composite

2,964,009 has the prime decomposition 3 × 173 × 5711. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 173 × 5711
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 3,975,552
Proper Divisor Sum 1,011,543
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #2963999 ← → #2964011

Radix Representation

Decimal 2964009
Binary 1011010011101000101001 (22 bits)
Octal 0o13235051
Hexadecimal 0x2D3A29

Divisor Catalog (8)

1 3 173 519 5,711 17,133 988,003 2,964,009

Collatz Trajectory (288 steps to reach 1)

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

2,964,009 8,892,028 4,446,014 2,223,007 6,669,022 3,334,511 10,003,534 5,001,767 15,005,302 7,502,651 22,507,954 11,253,977 33,761,932 16,880,966 8,440,483 25,321,450 12,660,725 37,982,176 18,991,088 9,495,544 4,747,772 2,373,886 1,186,943 3,560,830 1,780,415 5,341,246 2,670,623 8,011,870 4,005,935 12,017,806 6,008,903 18,026,710 9,013,355 27,040,066 13,520,033 40,560,100 20,280,050 10,140,025 30,420,076 15,210,038 7,605,019 22,815,058 11,407,529 34,222,588 17,111,294 8,555,647 25,666,942 12,833,471 38,500,414 19,250,207 57,750,622 28,875,311 86,625,934 43,312,967 129,938,902 64,969,451 194,908,354 97,454,177 292,362,532 146,181,266

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