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Atlas › Integer Profiles › Node 7,541,208

7,541,208

23 × 33 × 34913
Abundant Even Composite

7,541,208 factors as 2^3 × 3^3 × 34913. Its 32 positive divisors give a proper-divisor sum of 13,407,192, so this integer is abundant. The Collatz stopping time is 80 steps.

Prime Factor Structure

Factorization String 2^3 × 3^3 × 34913
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 20,948,400
Proper Divisor Sum 13,407,192
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #7541201 ← → #7541213

Radix Representation

Decimal 7541208
Binary 11100110001000111011000 (23 bits)
Octal 0o34610730
Hexadecimal 0x7311D8

Divisor Catalog (32)

1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 34,913 69,826 104,739 139,652 209,478 279,304 314,217 418,956 628,434 837,912 942,651 1,256,868 1,885,302 2,513,736 3,770,604 7,541,208

Collatz Trajectory (80 steps to reach 1)

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

7,541,208 3,770,604 1,885,302 942,651 2,827,954 1,413,977 4,241,932 2,120,966 1,060,483 3,181,450 1,590,725 4,772,176 2,386,088 1,193,044 596,522 298,261 894,784 447,392 223,696 111,848 55,924 27,962 13,981 41,944 20,972 10,486 5,243 15,730 7,865 23,596 11,798 5,899 17,698 8,849 26,548 13,274 6,637 19,912 9,956 4,978 2,489 7,468 3,734 1,867 5,602 2,801 8,404 4,202 2,101 6,304 3,152 1,576 788 394 197 592 296 148 74 37

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