λ
Modular Archive

6,242,067

32 × 13 × 31 × 1721
Deficient Odd Composite

The decimal integer 6,242,067 is 10111110011111100010011 in binary (23 bits), 27637423 in octal and 5F3F13 in hexadecimal. Its digit sum is 27.

Prime Factor Structure

Factorization String 3^2 × 13 × 31 × 1721
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 10,028,928
Proper Divisor Sum 3,786,861
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #6242029 ← → #6242087

Radix Representation

Decimal 6242067
Binary 10111110011111100010011 (23 bits)
Octal 0o27637423
Hexadecimal 0x5F3F13

Divisor Catalog (24)

1 3 9 13 31 39 93 117 279 403 1,209 1,721 3,627 5,163 15,489 22,373 53,351 67,119 160,053 201,357 480,159 693,563 2,080,689 6,242,067

Collatz Trajectory (364 steps to reach 1)

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

6,242,067 18,726,202 9,363,101 28,089,304 14,044,652 7,022,326 3,511,163 10,533,490 5,266,745 15,800,236 7,900,118 3,950,059 11,850,178 5,925,089 17,775,268 8,887,634 4,443,817 13,331,452 6,665,726 3,332,863 9,998,590 4,999,295 14,997,886 7,498,943 22,496,830 11,248,415 33,745,246 16,872,623 50,617,870 25,308,935 75,926,806 37,963,403 113,890,210 56,945,105 170,835,316 85,417,658 42,708,829 128,126,488 64,063,244 32,031,622 16,015,811 48,047,434 24,023,717 72,071,152 36,035,576 18,017,788 9,008,894 4,504,447 13,513,342 6,756,671 20,270,014 10,135,007 30,405,022 15,202,511 45,607,534 22,803,767 68,411,302 34,205,651 102,616,954 51,308,477

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