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Atlas › Integer Profiles › Node 15,519,140

15,519,140

22 × 5 × 7 × 13 × 8527
Abundant Even Composite

15,519,140 factors as 2^2 × 5 × 7 × 13 × 8527. Its 48 positive divisors give a proper-divisor sum of 24,596,572, so this integer is abundant. The Collatz stopping time is 249 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 7 × 13 × 8527
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 40,115,712
Proper Divisor Sum 24,596,572
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #15519139 ← → #15519149

Radix Representation

Decimal 15519140
Binary 111011001100110110100100 (24 bits)
Octal 0o73146644
Hexadecimal 0xECCDA4

Divisor Catalog (48)

1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 91 130 140 182 260 364 455 910 1,820 8,527 17,054 34,108 42,635 59,689 85,270 110,851 119,378 170,540 221,702 238,756 298,445 443,404 554,255 596,890 775,957 1,108,510 1,193,780 1,551,914 2,217,020 3,103,828 3,879,785 7,759,570 15,519,140

Collatz Trajectory (249 steps to reach 1)

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

15,519,140 7,759,570 3,879,785 11,639,356 5,819,678 2,909,839 8,729,518 4,364,759 13,094,278 6,547,139 19,641,418 9,820,709 29,462,128 14,731,064 7,365,532 3,682,766 1,841,383 5,524,150 2,762,075 8,286,226 4,143,113 12,429,340 6,214,670 3,107,335 9,322,006 4,661,003 13,983,010 6,991,505 20,974,516 10,487,258 5,243,629 15,730,888 7,865,444 3,932,722 1,966,361 5,899,084 2,949,542 1,474,771 4,424,314 2,212,157 6,636,472 3,318,236 1,659,118 829,559 2,488,678 1,244,339 3,733,018 1,866,509 5,599,528 2,799,764 1,399,882 699,941 2,099,824 1,049,912 524,956 262,478 131,239 393,718 196,859 590,578

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