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Atlas › Integer Profiles › Node 15,100,740

15,100,740

22 × 32 × 5 × 43 × 1951
Abundant Even Composite

15,100,740 factors as 2^2 × 3^2 × 5 × 43 × 1951. Its 72 positive divisors give a proper-divisor sum of 31,794,108, so this integer is abundant. The Collatz stopping time is 156 steps.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 5 × 43 × 1951
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 46,894,848
Proper Divisor Sum 31,794,108
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #15100739 ← → #15100741

Radix Representation

Decimal 15100740
Binary 111001100110101101000100 (24 bits)
Octal 0o71465504
Hexadecimal 0xE66B44

Divisor Catalog (60 of 72)

1 2 3 4 5 6 9 10 12 15 18 20 30 36 43 45 60 86 90 129 172 180 215 258 387 430 516 645 774 860 1,290 1,548 1,935 1,951 2,580 3,870 3,902 5,853 7,740 7,804 9,755 11,706 17,559 19,510 23,412 29,265 35,118 39,020 58,530 70,236 83,893 87,795 117,060 167,786 175,590 251,679 335,572 351,180 419,465 503,358

Collatz Trajectory (156 steps to reach 1)

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

15,100,740 7,550,370 3,775,185 11,325,556 5,662,778 2,831,389 8,494,168 4,247,084 2,123,542 1,061,771 3,185,314 1,592,657 4,777,972 2,388,986 1,194,493 3,583,480 1,791,740 895,870 447,935 1,343,806 671,903 2,015,710 1,007,855 3,023,566 1,511,783 4,535,350 2,267,675 6,803,026 3,401,513 10,204,540 5,102,270 2,551,135 7,653,406 3,826,703 11,480,110 5,740,055 17,220,166 8,610,083 25,830,250 12,915,125 38,745,376 19,372,688 9,686,344 4,843,172 2,421,586 1,210,793 3,632,380 1,816,190 908,095 2,724,286 1,362,143 4,086,430 2,043,215 6,129,646 3,064,823 9,194,470 4,597,235 13,791,706 6,895,853 20,687,560

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