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Atlas › Integer Profiles › Node 2,931,708

2,931,708

22 × 3 × 13 × 18793
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3 × 13 × 18793
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 7,367,248
Proper Divisor Sum 4,435,540
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #2931707 ← → #2931713

Radix Representation

Decimal 2931708
Binary 1011001011101111111100 (22 bits)
Octal 0o13135774
Hexadecimal 0x2CBBFC

Divisor Catalog (24)

1 2 3 4 6 12 13 26 39 52 78 156 18,793 37,586 56,379 75,172 112,758 225,516 244,309 488,618 732,927 977,236 1,465,854 2,931,708

Collatz Trajectory (213 steps to reach 1)

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

2,931,708 1,465,854 732,927 2,198,782 1,099,391 3,298,174 1,649,087 4,947,262 2,473,631 7,420,894 3,710,447 11,131,342 5,565,671 16,697,014 8,348,507 25,045,522 12,522,761 37,568,284 18,784,142 9,392,071 28,176,214 14,088,107 42,264,322 21,132,161 63,396,484 31,698,242 15,849,121 47,547,364 23,773,682 11,886,841 35,660,524 17,830,262 8,915,131 26,745,394 13,372,697 40,118,092 20,059,046 10,029,523 30,088,570 15,044,285 45,132,856 22,566,428 11,283,214 5,641,607 16,924,822 8,462,411 25,387,234 12,693,617 38,080,852 19,040,426 9,520,213 28,560,640 14,280,320 7,140,160 3,570,080 1,785,040 892,520 446,260 223,130 111,565

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