8,825,480

2³ × 5 × 61 × 3617

8,825,480 factors as 2^3 × 5 × 61 × 3617. Its 32 positive divisors give a proper-divisor sum of 11,362,960, so this integer is abundant. The Collatz stopping time is 380 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 61 × 3617

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 20,188,440

Proper Divisor Sum 11,362,960

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #8825477 ← → #8825489

Radix Representation

Decimal	8825480
Binary	100001101010101010001000 (24 bits)
Octal	0o41525210
Hexadecimal	0x86AA88

Divisor Catalog (32)

Collatz Trajectory (380 steps to reach 1)

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

8,825,480 4,412,740 2,206,370 1,103,185 3,309,556 1,654,778 827,389 2,482,168 1,241,084 620,542 310,271 930,814 465,407 1,396,222 698,111 2,094,334 1,047,167 3,141,502 1,570,751 4,712,254 2,356,127 7,068,382 3,534,191 10,602,574 5,301,287 15,903,862 7,951,931 23,855,794 11,927,897 35,783,692 17,891,846 8,945,923 26,837,770 13,418,885 40,256,656 20,128,328 10,064,164 5,032,082 2,516,041 7,548,124 3,774,062 1,887,031 5,661,094 2,830,547 8,491,642 4,245,821 12,737,464 6,368,732 3,184,366 1,592,183 4,776,550 2,388,275 7,164,826 3,582,413 10,747,240 5,373,620 2,686,810 1,343,405 4,030,216 2,015,108

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