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7,674,100

22 × 52 × 7 × 19 × 577
Abundant Even Composite

7,674,100 factors as 2^2 × 5^2 × 7 × 19 × 577. Its 72 positive divisors give a proper-divisor sum of 12,394,060, so this integer is abundant. The Collatz stopping time is 173 steps.

Prime Factor Structure

Factorization String 2^2 × 5^2 × 7 × 19 × 577
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 20,068,160
Proper Divisor Sum 12,394,060
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #7674091 ← → #7674101

Radix Representation

Decimal 7674100
Binary 11101010001100011110100 (23 bits)
Octal 0o35214364
Hexadecimal 0x7518F4

Divisor Catalog (60 of 72)

1 2 4 5 7 10 14 19 20 25 28 35 38 50 70 76 95 100 133 140 175 190 266 350 380 475 532 577 665 700 950 1,154 1,330 1,900 2,308 2,660 2,885 3,325 4,039 5,770 6,650 8,078 10,963 11,540 13,300 14,425 16,156 20,195 21,926 28,850 40,390 43,852 54,815 57,700 76,741 80,780 100,975 109,630 153,482 201,950

Collatz Trajectory (173 steps to reach 1)

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

7,674,100 3,837,050 1,918,525 5,755,576 2,877,788 1,438,894 719,447 2,158,342 1,079,171 3,237,514 1,618,757 4,856,272 2,428,136 1,214,068 607,034 303,517 910,552 455,276 227,638 113,819 341,458 170,729 512,188 256,094 128,047 384,142 192,071 576,214 288,107 864,322 432,161 1,296,484 648,242 324,121 972,364 486,182 243,091 729,274 364,637 1,093,912 546,956 273,478 136,739 410,218 205,109 615,328 307,664 153,832 76,916 38,458 19,229 57,688 28,844 14,422 7,211 21,634 10,817 32,452 16,226 8,113

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