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Atlas › Integer Profiles › Node 9,748,760

9,748,760

23 × 5 × 7 × 37 × 941
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 5 × 7 × 37 × 941
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 25,773,120
Proper Divisor Sum 16,024,360
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #9748751 ← → #9748771

Radix Representation

Decimal 9748760
Binary 100101001100000100011000 (24 bits)
Octal 0o45140430
Hexadecimal 0x94C118

Divisor Catalog (60 of 64)

1 2 4 5 7 8 10 14 20 28 35 37 40 56 70 74 140 148 185 259 280 296 370 518 740 941 1,036 1,295 1,480 1,882 2,072 2,590 3,764 4,705 5,180 6,587 7,528 9,410 10,360 13,174 18,820 26,348 32,935 34,817 37,640 52,696 65,870 69,634 131,740 139,268 174,085 243,719 263,480 278,536 348,170 487,438 696,340 974,876 1,218,595 1,392,680

Collatz Trajectory (62 steps to reach 1)

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

9,748,760 4,874,380 2,437,190 1,218,595 3,655,786 1,827,893 5,483,680 2,741,840 1,370,920 685,460 342,730 171,365 514,096 257,048 128,524 64,262 32,131 96,394 48,197 144,592 72,296 36,148 18,074 9,037 27,112 13,556 6,778 3,389 10,168 5,084 2,542 1,271 3,814 1,907 5,722 2,861 8,584 4,292 2,146 1,073 3,220 1,610 805 2,416 1,208 604 302 151 454 227 682 341 1,024 512 256 128 64 32 16 8

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