5,180,792

2³ × 29 × 137 × 163

5,180,792 factors as 2^3 × 29 × 137 × 163. Its 32 positive divisors give a proper-divisor sum of 5,003,608, so this integer is deficient. The Collatz stopping time is 188 steps.

Prime Factor Structure

Factorization String 2^3 × 29 × 137 × 163

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 10,184,400

Proper Divisor Sum 5,003,608

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #5180771 ← → #5180807

Radix Representation

Decimal	5180792
Binary	10011110000110101111000 (23 bits)
Octal	0o23606570
Hexadecimal	0x4F0D78

Divisor Catalog (32)

1 2 4 8 29 58 116 137 163 232 274 326 548 652 1,096 1,304 3,973 4,727 7,946 9,454 15,892 18,908 22,331 31,784 37,816 44,662 89,324 178,648 647,599 1,295,198 2,590,396 5,180,792

Collatz Trajectory (188 steps to reach 1)

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

5,180,792 2,590,396 1,295,198 647,599 1,942,798 971,399 2,914,198 1,457,099 4,371,298 2,185,649 6,556,948 3,278,474 1,639,237 4,917,712 2,458,856 1,229,428 614,714 307,357 922,072 461,036 230,518 115,259 345,778 172,889 518,668 259,334 129,667 389,002 194,501 583,504 291,752 145,876 72,938 36,469 109,408 54,704 27,352 13,676 6,838 3,419 10,258 5,129 15,388 7,694 3,847 11,542 5,771 17,314 8,657 25,972 12,986 6,493 19,480 9,740 4,870 2,435 7,306 3,653 10,960 5,480

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