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Atlas › Integer Profiles › Node 2,139,291

2,139,291

34 × 74 × 11
Deficient Odd Composite

2,139,291 factors as 3^4 × 7^4 × 11. Its 50 positive divisors give a proper-divisor sum of 1,927,761, so this integer is deficient. The Collatz stopping time is 96 steps.

Prime Factor Structure

Factorization String 3^4 × 7^4 × 11
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 50
Divisor Sum (σ) 4,067,052
Proper Divisor Sum 1,927,761
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #2139283 ← → #2139307

Radix Representation

Decimal 2139291
Binary 1000001010010010011011 (22 bits)
Octal 0o10122233
Hexadecimal 0x20A49B

Divisor Catalog (50)

1 3 7 9 11 21 27 33 49 63 77 81 99 147 189 231 297 343 441 539 567 693 891 1,029 1,323 1,617 2,079 2,401 3,087 3,773 3,969 4,851 6,237 7,203 9,261 11,319 14,553 21,609 26,411 27,783 33,957 43,659 64,827 79,233 101,871 194,481 237,699 305,613 713,097 2,139,291

Collatz Trajectory (96 steps to reach 1)

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

2,139,291 6,417,874 3,208,937 9,626,812 4,813,406 2,406,703 7,220,110 3,610,055 10,830,166 5,415,083 16,245,250 8,122,625 24,367,876 12,183,938 6,091,969 18,275,908 9,137,954 4,568,977 13,706,932 6,853,466 3,426,733 10,280,200 5,140,100 2,570,050 1,285,025 3,855,076 1,927,538 963,769 2,891,308 1,445,654 722,827 2,168,482 1,084,241 3,252,724 1,626,362 813,181 2,439,544 1,219,772 609,886 304,943 914,830 457,415 1,372,246 686,123 2,058,370 1,029,185 3,087,556 1,543,778 771,889 2,315,668 1,157,834 578,917 1,736,752 868,376 434,188 217,094 108,547 325,642 162,821 488,464

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