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Atlas › Integer Profiles › Node 5,177,920

5,177,920

26 × 5 × 11 × 1471
Abundant Even Composite

5,177,920 factors as 2^6 × 5 × 11 × 1471. Its 56 positive divisors give a proper-divisor sum of 8,282,048, so this integer is abundant. The Collatz stopping time is 188 steps.

Prime Factor Structure

Factorization String 2^6 × 5 × 11 × 1471
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 56
Divisor Sum (σ) 13,459,968
Proper Divisor Sum 8,282,048
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #5177903 ← → #5177923

Radix Representation

Decimal 5177920
Binary 10011110000001001000000 (23 bits)
Octal 0o23601100
Hexadecimal 0x4F0240

Divisor Catalog (56)

1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 160 176 220 320 352 440 704 880 1,471 1,760 2,942 3,520 5,884 7,355 11,768 14,710 16,181 23,536 29,420 32,362 47,072 58,840 64,724 80,905 94,144 117,680 129,448 161,810 235,360 258,896 323,620 470,720 517,792 647,240 1,035,584 1,294,480 2,588,960 5,177,920

Collatz Trajectory (188 steps to reach 1)

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

5,177,920 2,588,960 1,294,480 647,240 323,620 161,810 80,905 242,716 121,358 60,679 182,038 91,019 273,058 136,529 409,588 204,794 102,397 307,192 153,596 76,798 38,399 115,198 57,599 172,798 86,399 259,198 129,599 388,798 194,399 583,198 291,599 874,798 437,399 1,312,198 656,099 1,968,298 984,149 2,952,448 1,476,224 738,112 369,056 184,528 92,264 46,132 23,066 11,533 34,600 17,300 8,650 4,325 12,976 6,488 3,244 1,622 811 2,434 1,217 3,652 1,826 913

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