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Atlas › Integer Profiles › Node 2,113,704

2,113,704

23 × 32 × 31 × 947
Abundant Even Composite

2,113,704 factors as 2^3 × 3^2 × 31 × 947. Its 48 positive divisors give a proper-divisor sum of 3,801,816, so this integer is abundant. The Collatz stopping time is 104 steps.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 31 × 947
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 5,915,520
Proper Divisor Sum 3,801,816
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #2113703 ← → #2113733

Radix Representation

Decimal 2113704
Binary 1000000100000010101000 (22 bits)
Octal 0o10040250
Hexadecimal 0x2040A8

Divisor Catalog (48)

1 2 3 4 6 8 9 12 18 24 31 36 62 72 93 124 186 248 279 372 558 744 947 1,116 1,894 2,232 2,841 3,788 5,682 7,576 8,523 11,364 17,046 22,728 29,357 34,092 58,714 68,184 88,071 117,428 176,142 234,856 264,213 352,284 528,426 704,568 1,056,852 2,113,704

Collatz Trajectory (104 steps to reach 1)

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

2,113,704 1,056,852 528,426 264,213 792,640 396,320 198,160 99,080 49,540 24,770 12,385 37,156 18,578 9,289 27,868 13,934 6,967 20,902 10,451 31,354 15,677 47,032 23,516 11,758 5,879 17,638 8,819 26,458 13,229 39,688 19,844 9,922 4,961 14,884 7,442 3,721 11,164 5,582 2,791 8,374 4,187 12,562 6,281 18,844 9,422 4,711 14,134 7,067 21,202 10,601 31,804 15,902 7,951 23,854 11,927 35,782 17,891 53,674 26,837 80,512

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