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Atlas › Integer Profiles › Node 2,913,134

2,913,134

2 × 7 × 23 × 83 × 109
Deficient Even Composite

2,913,134 factors as 2 × 7 × 23 × 83 × 109. Its 32 positive divisors give a proper-divisor sum of 2,409,106, so this integer is deficient. The Collatz stopping time is 213 steps.

Prime Factor Structure

Factorization String 2 × 7 × 23 × 83 × 109
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 5,322,240
Proper Divisor Sum 2,409,106
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #2913083 ← → #2913139

Radix Representation

Decimal 2913134
Binary 1011000111001101101110 (22 bits)
Octal 0o13071556
Hexadecimal 0x2C736E

Divisor Catalog (32)

1 2 7 14 23 46 83 109 161 166 218 322 581 763 1,162 1,526 1,909 2,507 3,818 5,014 9,047 13,363 17,549 18,094 26,726 35,098 63,329 126,658 208,081 416,162 1,456,567 2,913,134

Collatz Trajectory (213 steps to reach 1)

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

2,913,134 1,456,567 4,369,702 2,184,851 6,554,554 3,277,277 9,831,832 4,915,916 2,457,958 1,228,979 3,686,938 1,843,469 5,530,408 2,765,204 1,382,602 691,301 2,073,904 1,036,952 518,476 259,238 129,619 388,858 194,429 583,288 291,644 145,822 72,911 218,734 109,367 328,102 164,051 492,154 246,077 738,232 369,116 184,558 92,279 276,838 138,419 415,258 207,629 622,888 311,444 155,722 77,861 233,584 116,792 58,396 29,198 14,599 43,798 21,899 65,698 32,849 98,548 49,274 24,637 73,912 36,956 18,478

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