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Atlas › Integer Profiles › Node 15,772,192

15,772,192

25 × 17 × 79 × 367
Abundant Even Composite

15,772,192 factors as 2^5 × 17 × 79 × 367. Its 48 positive divisors give a proper-divisor sum of 17,612,768, so this integer is abundant. The Collatz stopping time is 218 steps.

Prime Factor Structure

Factorization String 2^5 × 17 × 79 × 367
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 33,384,960
Proper Divisor Sum 17,612,768
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #15772189 ← → #15772247

Radix Representation

Decimal 15772192
Binary 111100001010101000100000 (24 bits)
Octal 0o74125040
Hexadecimal 0xF0AA20

Divisor Catalog (48)

1 2 4 8 16 17 32 34 68 79 136 158 272 316 367 544 632 734 1,264 1,343 1,468 2,528 2,686 2,936 5,372 5,872 6,239 10,744 11,744 12,478 21,488 24,956 28,993 42,976 49,912 57,986 99,824 115,972 199,648 231,944 463,888 492,881 927,776 985,762 1,971,524 3,943,048 7,886,096 15,772,192

Collatz Trajectory (218 steps to reach 1)

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

15,772,192 7,886,096 3,943,048 1,971,524 985,762 492,881 1,478,644 739,322 369,661 1,108,984 554,492 277,246 138,623 415,870 207,935 623,806 311,903 935,710 467,855 1,403,566 701,783 2,105,350 1,052,675 3,158,026 1,579,013 4,737,040 2,368,520 1,184,260 592,130 296,065 888,196 444,098 222,049 666,148 333,074 166,537 499,612 249,806 124,903 374,710 187,355 562,066 281,033 843,100 421,550 210,775 632,326 316,163 948,490 474,245 1,422,736 711,368 355,684 177,842 88,921 266,764 133,382 66,691 200,074 100,037

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