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Atlas › Integer Profiles › Node 15,115,424

15,115,424

25 × 563 × 839
Deficient Even Composite

15,115,424 factors as 2^5 × 563 × 839. Its 24 positive divisors give a proper-divisor sum of 14,731,456, so this integer is deficient. The Collatz stopping time is 112 steps.

Prime Factor Structure

Factorization String 2^5 × 563 × 839
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 29,846,880
Proper Divisor Sum 14,731,456
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #15115417 ← → #15115427

Radix Representation

Decimal 15115424
Binary 111001101010010010100000 (24 bits)
Octal 0o71522240
Hexadecimal 0xE6A4A0

Divisor Catalog (24)

1 2 4 8 16 32 563 839 1,126 1,678 2,252 3,356 4,504 6,712 9,008 13,424 18,016 26,848 472,357 944,714 1,889,428 3,778,856 7,557,712 15,115,424

Collatz Trajectory (112 steps to reach 1)

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

15,115,424 7,557,712 3,778,856 1,889,428 944,714 472,357 1,417,072 708,536 354,268 177,134 88,567 265,702 132,851 398,554 199,277 597,832 298,916 149,458 74,729 224,188 112,094 56,047 168,142 84,071 252,214 126,107 378,322 189,161 567,484 283,742 141,871 425,614 212,807 638,422 319,211 957,634 478,817 1,436,452 718,226 359,113 1,077,340 538,670 269,335 808,006 404,003 1,212,010 606,005 1,818,016 909,008 454,504 227,252 113,626 56,813 170,440 85,220 42,610 21,305 63,916 31,958 15,979

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