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Atlas › Integer Profiles › Node 15,768,320

15,768,320

28 × 5 × 97 × 127
Abundant Even Composite

15,768,320 factors as 2^8 × 5 × 97 × 127. Its 72 positive divisors give a proper-divisor sum of 22,691,584, so this integer is abundant. The Collatz stopping time is 68 steps.

Prime Factor Structure

Factorization String 2^8 × 5 × 97 × 127
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 38,459,904
Proper Divisor Sum 22,691,584
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #15768301 ← → #15768323

Radix Representation

Decimal 15768320
Binary 111100001001101100000000 (24 bits)
Octal 0o74115400
Hexadecimal 0xF09B00

Divisor Catalog (60 of 72)

1 2 4 5 8 10 16 20 32 40 64 80 97 127 128 160 194 254 256 320 388 485 508 635 640 776 970 1,016 1,270 1,280 1,552 1,940 2,032 2,540 3,104 3,880 4,064 5,080 6,208 7,760 8,128 10,160 12,319 12,416 15,520 16,256 20,320 24,638 24,832 31,040 32,512 40,640 49,276 61,595 62,080 81,280 98,552 123,190 124,160 162,560

Collatz Trajectory (68 steps to reach 1)

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

15,768,320 7,884,160 3,942,080 1,971,040 985,520 492,760 246,380 123,190 61,595 184,786 92,393 277,180 138,590 69,295 207,886 103,943 311,830 155,915 467,746 233,873 701,620 350,810 175,405 526,216 263,108 131,554 65,777 197,332 98,666 49,333 148,000 74,000 37,000 18,500 9,250 4,625 13,876 6,938 3,469 10,408 5,204 2,602 1,301 3,904 1,952 976 488 244 122 61 184 92 46 23 70 35 106 53 160 80

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