λ
Prime Ledger

2,742,071

83 × 33037
Deficient Odd Composite

2,742,071 has the prime decomposition 83 × 33037. Its 2 distinct prime factors produce 4 positive divisors.

Prime Factor Structure

Factorization String 83 × 33037
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 2,775,192
Proper Divisor Sum 33,121
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #2742041 ← → #2742073

Radix Representation

Decimal 2742071
Binary 1010011101011100110111 (22 bits)
Octal 0o12353467
Hexadecimal 0x29D737

Divisor Catalog (4)

1 83 33,037 2,742,071

Collatz Trajectory (200 steps to reach 1)

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

2,742,071 8,226,214 4,113,107 12,339,322 6,169,661 18,508,984 9,254,492 4,627,246 2,313,623 6,940,870 3,470,435 10,411,306 5,205,653 15,616,960 7,808,480 3,904,240 1,952,120 976,060 488,030 244,015 732,046 366,023 1,098,070 549,035 1,647,106 823,553 2,470,660 1,235,330 617,665 1,852,996 926,498 463,249 1,389,748 694,874 347,437 1,042,312 521,156 260,578 130,289 390,868 195,434 97,717 293,152 146,576 73,288 36,644 18,322 9,161 27,484 13,742 6,871 20,614 10,307 30,922 15,461 46,384 23,192 11,596 5,798 2,899

More profiles

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