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Atlas › Integer Profiles › Node 2,834,013

2,834,013

3 × 72 × 13 × 1483
Deficient Odd Composite

2,834,013 factors as 3 × 7^2 × 13 × 1483. Its 24 positive divisors give a proper-divisor sum of 1,902,915, so this integer is deficient. The Collatz stopping time is 169 steps.

Prime Factor Structure

Factorization String 3 × 7^2 × 13 × 1483
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 4,736,928
Proper Divisor Sum 1,902,915
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #2834011 ← → #2834017

Radix Representation

Decimal 2834013
Binary 1010110011111001011101 (22 bits)
Octal 0o12637135
Hexadecimal 0x2B3E5D

Divisor Catalog (24)

1 3 7 13 21 39 49 91 147 273 637 1,483 1,911 4,449 10,381 19,279 31,143 57,837 72,667 134,953 218,001 404,859 944,671 2,834,013

Collatz Trajectory (169 steps to reach 1)

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

2,834,013 8,502,040 4,251,020 2,125,510 1,062,755 3,188,266 1,594,133 4,782,400 2,391,200 1,195,600 597,800 298,900 149,450 74,725 224,176 112,088 56,044 28,022 14,011 42,034 21,017 63,052 31,526 15,763 47,290 23,645 70,936 35,468 17,734 8,867 26,602 13,301 39,904 19,952 9,976 4,988 2,494 1,247 3,742 1,871 5,614 2,807 8,422 4,211 12,634 6,317 18,952 9,476 4,738 2,369 7,108 3,554 1,777 5,332 2,666 1,333 4,000 2,000 1,000 500

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