λ
Prime Ledger

4,079,694

2 × 3 × 17 × 23 × 37 × 47
Abundant Even Composite

4,079,694 has the prime decomposition 2 × 3 × 17 × 23 × 37 × 47. Its 6 distinct prime factors produce 64 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 17 × 23 × 37 × 47
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 9,455,616
Proper Divisor Sum 5,375,922
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #4079689 ← → #4079701

Radix Representation

Decimal 4079694
Binary 1111100100000001001110 (22 bits)
Octal 0o17440116
Hexadecimal 0x3E404E

Divisor Catalog (60 of 64)

1 2 3 6 17 23 34 37 46 47 51 69 74 94 102 111 138 141 222 282 391 629 782 799 851 1,081 1,173 1,258 1,598 1,702 1,739 1,887 2,162 2,346 2,397 2,553 3,243 3,478 3,774 4,794 5,106 5,217 6,486 10,434 14,467 18,377 28,934 29,563 36,754 39,997 43,401 55,131 59,126 79,994 86,802 88,689 110,262 119,991 177,378 239,982

Collatz Trajectory (198 steps to reach 1)

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

4,079,694 2,039,847 6,119,542 3,059,771 9,179,314 4,589,657 13,768,972 6,884,486 3,442,243 10,326,730 5,163,365 15,490,096 7,745,048 3,872,524 1,936,262 968,131 2,904,394 1,452,197 4,356,592 2,178,296 1,089,148 544,574 272,287 816,862 408,431 1,225,294 612,647 1,837,942 918,971 2,756,914 1,378,457 4,135,372 2,067,686 1,033,843 3,101,530 1,550,765 4,652,296 2,326,148 1,163,074 581,537 1,744,612 872,306 436,153 1,308,460 654,230 327,115 981,346 490,673 1,472,020 736,010 368,005 1,104,016 552,008 276,004 138,002 69,001 207,004 103,502 51,751 155,254

More profiles

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