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8,713,480

23 × 5 × 31 × 7027
Abundant Even Composite

8,713,480 factors as 2^3 × 5 × 31 × 7027. Its 32 positive divisors give a proper-divisor sum of 11,527,160, so this integer is abundant. The Collatz stopping time is 93 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 31 × 7027
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 20,240,640
Proper Divisor Sum 11,527,160
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #8713459 ← → #8713487

Radix Representation

Decimal 8713480
Binary 100001001111010100001000 (24 bits)
Octal 0o41172410
Hexadecimal 0x84F508

Divisor Catalog (32)

1 2 4 5 8 10 20 31 40 62 124 155 248 310 620 1,240 7,027 14,054 28,108 35,135 56,216 70,270 140,540 217,837 281,080 435,674 871,348 1,089,185 1,742,696 2,178,370 4,356,740 8,713,480

Collatz Trajectory (93 steps to reach 1)

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

8,713,480 4,356,740 2,178,370 1,089,185 3,267,556 1,633,778 816,889 2,450,668 1,225,334 612,667 1,838,002 919,001 2,757,004 1,378,502 689,251 2,067,754 1,033,877 3,101,632 1,550,816 775,408 387,704 193,852 96,926 48,463 145,390 72,695 218,086 109,043 327,130 163,565 490,696 245,348 122,674 61,337 184,012 92,006 46,003 138,010 69,005 207,016 103,508 51,754 25,877 77,632 38,816 19,408 9,704 4,852 2,426 1,213 3,640 1,820 910 455 1,366 683 2,050 1,025 3,076 1,538

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