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Atlas › Integer Profiles › Node 2,579,049

2,579,049

32 × 11 × 109 × 239
Deficient Odd Composite

2,579,049 factors as 3^2 × 11 × 109 × 239. Its 24 positive divisors give a proper-divisor sum of 1,539,351, so this integer is deficient. The Collatz stopping time is 130 steps.

Prime Factor Structure

Factorization String 3^2 × 11 × 109 × 239
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 4,118,400
Proper Divisor Sum 1,539,351
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #2579009 ← → #2579051

Radix Representation

Decimal 2579049
Binary 1001110101101001101001 (22 bits)
Octal 0o11655151
Hexadecimal 0x275A69

Divisor Catalog (24)

1 3 9 11 33 99 109 239 327 717 981 1,199 2,151 2,629 3,597 7,887 10,791 23,661 26,051 78,153 234,459 286,561 859,683 2,579,049

Collatz Trajectory (130 steps to reach 1)

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

2,579,049 7,737,148 3,868,574 1,934,287 5,802,862 2,901,431 8,704,294 4,352,147 13,056,442 6,528,221 19,584,664 9,792,332 4,896,166 2,448,083 7,344,250 3,672,125 11,016,376 5,508,188 2,754,094 1,377,047 4,131,142 2,065,571 6,196,714 3,098,357 9,295,072 4,647,536 2,323,768 1,161,884 580,942 290,471 871,414 435,707 1,307,122 653,561 1,960,684 980,342 490,171 1,470,514 735,257 2,205,772 1,102,886 551,443 1,654,330 827,165 2,481,496 1,240,748 620,374 310,187 930,562 465,281 1,395,844 697,922 348,961 1,046,884 523,442 261,721 785,164 392,582 196,291 588,874

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