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Atlas › Integer Profiles › Node 975,540

975,540

22 × 3 × 5 × 71 × 229
Abundant Even Composite

975,540 factors as 2^2 × 3 × 5 × 71 × 229. Its 48 positive divisors give a proper-divisor sum of 1,806,540, so this integer is abundant. The Collatz stopping time is 183 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 71 × 229
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 2,782,080
Proper Divisor Sum 1,806,540
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #975523 ← → #975551

Radix Representation

Decimal 975540
Binary 11101110001010110100 (20 bits)
Octal 0o3561264
Hexadecimal 0xEE2B4

Divisor Catalog (48)

1 2 3 4 5 6 10 12 15 20 30 60 71 142 213 229 284 355 426 458 687 710 852 916 1,065 1,145 1,374 1,420 2,130 2,290 2,748 3,435 4,260 4,580 6,870 13,740 16,259 32,518 48,777 65,036 81,295 97,554 162,590 195,108 243,885 325,180 487,770 975,540

Collatz Trajectory (183 steps to reach 1)

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

975,540 487,770 243,885 731,656 365,828 182,914 91,457 274,372 137,186 68,593 205,780 102,890 51,445 154,336 77,168 38,584 19,292 9,646 4,823 14,470 7,235 21,706 10,853 32,560 16,280 8,140 4,070 2,035 6,106 3,053 9,160 4,580 2,290 1,145 3,436 1,718 859 2,578 1,289 3,868 1,934 967 2,902 1,451 4,354 2,177 6,532 3,266 1,633 4,900 2,450 1,225 3,676 1,838 919 2,758 1,379 4,138 2,069 6,208

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