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Atlas › Integer Profiles › Node 15,082,336

15,082,336

25 × 43 × 97 × 113
Abundant Even Composite

15,082,336 factors as 2^5 × 43 × 97 × 113. Its 48 positive divisors give a proper-divisor sum of 15,886,448, so this integer is abundant. The Collatz stopping time is 112 steps.

Prime Factor Structure

Factorization String 2^5 × 43 × 97 × 113
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 30,968,784
Proper Divisor Sum 15,886,448
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #15082321 ← → #15082357

Radix Representation

Decimal 15082336
Binary 111001100010001101100000 (24 bits)
Octal 0o71421540
Hexadecimal 0xE62360

Divisor Catalog (48)

1 2 4 8 16 32 43 86 97 113 172 194 226 344 388 452 688 776 904 1,376 1,552 1,808 3,104 3,616 4,171 4,859 8,342 9,718 10,961 16,684 19,436 21,922 33,368 38,872 43,844 66,736 77,744 87,688 133,472 155,488 175,376 350,752 471,323 942,646 1,885,292 3,770,584 7,541,168 15,082,336

Collatz Trajectory (112 steps to reach 1)

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

15,082,336 7,541,168 3,770,584 1,885,292 942,646 471,323 1,413,970 706,985 2,120,956 1,060,478 530,239 1,590,718 795,359 2,386,078 1,193,039 3,579,118 1,789,559 5,368,678 2,684,339 8,053,018 4,026,509 12,079,528 6,039,764 3,019,882 1,509,941 4,529,824 2,264,912 1,132,456 566,228 283,114 141,557 424,672 212,336 106,168 53,084 26,542 13,271 39,814 19,907 59,722 29,861 89,584 44,792 22,396 11,198 5,599 16,798 8,399 25,198 12,599 37,798 18,899 56,698 28,349 85,048 42,524 21,262 10,631 31,894 15,947

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