5,501,760

2⁶ × 3 × 5 × 11 × 521

5,501,760 has digital root 6. The neighboring primes are 5501731 and 5501777; its proper-divisor sum differs from the starting integer by 8,089,152.

Prime Factor Structure

Factorization String 2^6 × 3 × 5 × 11 × 521

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 112

Divisor Sum (σ) 19,092,672

Proper Divisor Sum 13,590,912

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #5501731 ← → #5501777

Radix Representation

Decimal	5501760
Binary	10100111111001101000000 (23 bits)
Octal	0o24771500
Hexadecimal	0x53F340

Divisor Catalog (60 of 112)

1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 132 160 165 176 192 220 240 264 320 330 352 440 480 521 528 660 704 880 960 1,042 1,056 1,320 1,563 1,760 2,084 2,112 2,605 2,640 3,126 3,520

Collatz Trajectory (64 steps to reach 1)

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

5,501,760 2,750,880 1,375,440 687,720 343,860 171,930 85,965 257,896 128,948 64,474 32,237 96,712 48,356 24,178 12,089 36,268 18,134 9,067 27,202 13,601 40,804 20,402 10,201 30,604 15,302 7,651 22,954 11,477 34,432 17,216 8,608 4,304 2,152 1,076 538 269 808 404 202 101 304 152 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5

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