λ
Prime Ledger

2,746,758

2 × 3 × 7 × 17 × 3847
Abundant Even Composite

2,746,758 has the prime decomposition 2 × 3 × 7 × 17 × 3847. Its 5 distinct prime factors produce 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 7 × 17 × 3847
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 6,649,344
Proper Divisor Sum 3,902,586
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #2746753 ← → #2746781

Radix Representation

Decimal 2746758
Binary 1010011110100110000110 (22 bits)
Octal 0o12364606
Hexadecimal 0x29E986

Divisor Catalog (32)

1 2 3 6 7 14 17 21 34 42 51 102 119 238 357 714 3,847 7,694 11,541 23,082 26,929 53,858 65,399 80,787 130,798 161,574 196,197 392,394 457,793 915,586 1,373,379 2,746,758

Collatz Trajectory (107 steps to reach 1)

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

2,746,758 1,373,379 4,120,138 2,060,069 6,180,208 3,090,104 1,545,052 772,526 386,263 1,158,790 579,395 1,738,186 869,093 2,607,280 1,303,640 651,820 325,910 162,955 488,866 244,433 733,300 366,650 183,325 549,976 274,988 137,494 68,747 206,242 103,121 309,364 154,682 77,341 232,024 116,012 58,006 29,003 87,010 43,505 130,516 65,258 32,629 97,888 48,944 24,472 12,236 6,118 3,059 9,178 4,589 13,768 6,884 3,442 1,721 5,164 2,582 1,291 3,874 1,937 5,812 2,906

More profiles

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