λ
Prime Ledger

2,794,239

32 × 7 × 17 × 2609
Deficient Odd Composite

2,794,239 has the prime decomposition 3^2 × 7 × 17 × 2609. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 7 × 17 × 2609
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 4,885,920
Proper Divisor Sum 2,091,681
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #2794229 ← → #2794241

Radix Representation

Decimal 2794239
Binary 1010101010001011111111 (22 bits)
Octal 0o12521377
Hexadecimal 0x2AA2FF

Divisor Catalog (24)

1 3 7 9 17 21 51 63 119 153 357 1,071 2,609 7,827 18,263 23,481 44,353 54,789 133,059 164,367 310,471 399,177 931,413 2,794,239

Collatz Trajectory (138 steps to reach 1)

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

2,794,239 8,382,718 4,191,359 12,574,078 6,287,039 18,861,118 9,430,559 28,291,678 14,145,839 42,437,518 21,218,759 63,656,278 31,828,139 95,484,418 47,742,209 143,226,628 71,613,314 35,806,657 107,419,972 53,709,986 26,854,993 80,564,980 40,282,490 20,141,245 60,423,736 30,211,868 15,105,934 7,552,967 22,658,902 11,329,451 33,988,354 16,994,177 50,982,532 25,491,266 12,745,633 38,236,900 19,118,450 9,559,225 28,677,676 14,338,838 7,169,419 21,508,258 10,754,129 32,262,388 16,131,194 8,065,597 24,196,792 12,098,396 6,049,198 3,024,599 9,073,798 4,536,899 13,610,698 6,805,349 20,416,048 10,208,024 5,104,012 2,552,006 1,276,003 3,828,010

More profiles

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