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Atlas › Integer Profiles › Node 1,973,124

1,973,124

22 × 32 × 23 × 2383
Abundant Even Composite

1,973,124 factors as 2^2 × 3^2 × 23 × 2383. Its 36 positive divisors give a proper-divisor sum of 3,233,532, so this integer is abundant. The Collatz stopping time is 290 steps.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 23 × 2383
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 5,206,656
Proper Divisor Sum 3,233,532
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #1973113 ← → #1973129

Radix Representation

Decimal 1973124
Binary 111100001101110000100 (21 bits)
Octal 0o7415604
Hexadecimal 0x1E1B84

Divisor Catalog (36)

1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 414 828 2,383 4,766 7,149 9,532 14,298 21,447 28,596 42,894 54,809 85,788 109,618 164,427 219,236 328,854 493,281 657,708 986,562 1,973,124

Collatz Trajectory (290 steps to reach 1)

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

1,973,124 986,562 493,281 1,479,844 739,922 369,961 1,109,884 554,942 277,471 832,414 416,207 1,248,622 624,311 1,872,934 936,467 2,809,402 1,404,701 4,214,104 2,107,052 1,053,526 526,763 1,580,290 790,145 2,370,436 1,185,218 592,609 1,777,828 888,914 444,457 1,333,372 666,686 333,343 1,000,030 500,015 1,500,046 750,023 2,250,070 1,125,035 3,375,106 1,687,553 5,062,660 2,531,330 1,265,665 3,796,996 1,898,498 949,249 2,847,748 1,423,874 711,937 2,135,812 1,067,906 533,953 1,601,860 800,930 400,465 1,201,396 600,698 300,349 901,048 450,524

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