λ
Prime Ledger

2,910,788

22 × 23 × 29 × 1091
Deficient Even Composite

2,910,788 has the prime decomposition 2^2 × 23 × 29 × 1091. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 23 × 29 × 1091
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 5,503,680
Proper Divisor Sum 2,592,892
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #2910779 ← → #2910797

Radix Representation

Decimal 2910788
Binary 1011000110101001000100 (22 bits)
Octal 0o13065104
Hexadecimal 0x2C6A44

Divisor Catalog (24)

1 2 4 23 29 46 58 92 116 667 1,091 1,334 2,182 2,668 4,364 25,093 31,639 50,186 63,278 100,372 126,556 727,697 1,455,394 2,910,788

Collatz Trajectory (120 steps to reach 1)

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

2,910,788 1,455,394 727,697 2,183,092 1,091,546 545,773 1,637,320 818,660 409,330 204,665 613,996 306,998 153,499 460,498 230,249 690,748 345,374 172,687 518,062 259,031 777,094 388,547 1,165,642 582,821 1,748,464 874,232 437,116 218,558 109,279 327,838 163,919 491,758 245,879 737,638 368,819 1,106,458 553,229 1,659,688 829,844 414,922 207,461 622,384 311,192 155,596 77,798 38,899 116,698 58,349 175,048 87,524 43,762 21,881 65,644 32,822 16,411 49,234 24,617 73,852 36,926 18,463

More profiles

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