λ
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Atlas › Integer Profiles › Node 1,906,008

1,906,008

23 × 3 × 13 × 41 × 149
Abundant Even Composite

1,906,008 factors as 2^3 × 3 × 13 × 41 × 149. Its 64 positive divisors give a proper-divisor sum of 3,385,992, so this integer is abundant. The Collatz stopping time is 78 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 13 × 41 × 149
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 5,292,000
Proper Divisor Sum 3,385,992
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #1906007 ← → #1906013

Radix Representation

Decimal 1906008
Binary 111010001010101011000 (21 bits)
Octal 0o7212530
Hexadecimal 0x1D1558

Divisor Catalog (60 of 64)

1 2 3 4 6 8 12 13 24 26 39 41 52 78 82 104 123 149 156 164 246 298 312 328 447 492 533 596 894 984 1,066 1,192 1,599 1,788 1,937 2,132 3,198 3,576 3,874 4,264 5,811 6,109 6,396 7,748 11,622 12,218 12,792 15,496 18,327 23,244 24,436 36,654 46,488 48,872 73,308 79,417 146,616 158,834 238,251 317,668

Collatz Trajectory (78 steps to reach 1)

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

1,906,008 953,004 476,502 238,251 714,754 357,377 1,072,132 536,066 268,033 804,100 402,050 201,025 603,076 301,538 150,769 452,308 226,154 113,077 339,232 169,616 84,808 42,404 21,202 10,601 31,804 15,902 7,951 23,854 11,927 35,782 17,891 53,674 26,837 80,512 40,256 20,128 10,064 5,032 2,516 1,258 629 1,888 944 472 236 118 59 178 89 268 134 67 202 101 304 152 76 38 19 58

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