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Atlas › Integer Profiles › Node 15,091,098

15,091,098

2 × 3 × 11 × 137 × 1669
Abundant Even Composite

15,091,098 factors as 2 × 3 × 11 × 137 × 1669. Its 32 positive divisors give a proper-divisor sum of 18,095,142, so this integer is abundant. The Collatz stopping time is 112 steps.

Prime Factor Structure

Factorization String 2 × 3 × 11 × 137 × 1669
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 33,186,240
Proper Divisor Sum 18,095,142
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #15091081 ← → #15091099

Radix Representation

Decimal 15091098
Binary 111001100100010110011010 (24 bits)
Octal 0o71442632
Hexadecimal 0xE6459A

Divisor Catalog (32)

1 2 3 6 11 22 33 66 137 274 411 822 1,507 1,669 3,014 3,338 4,521 5,007 9,042 10,014 18,359 36,718 55,077 110,154 228,653 457,306 685,959 1,371,918 2,515,183 5,030,366 7,545,549 15,091,098

Collatz Trajectory (112 steps to reach 1)

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

15,091,098 7,545,549 22,636,648 11,318,324 5,659,162 2,829,581 8,488,744 4,244,372 2,122,186 1,061,093 3,183,280 1,591,640 795,820 397,910 198,955 596,866 298,433 895,300 447,650 223,825 671,476 335,738 167,869 503,608 251,804 125,902 62,951 188,854 94,427 283,282 141,641 424,924 212,462 106,231 318,694 159,347 478,042 239,021 717,064 358,532 179,266 89,633 268,900 134,450 67,225 201,676 100,838 50,419 151,258 75,629 226,888 113,444 56,722 28,361 85,084 42,542 21,271 63,814 31,907 95,722

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