8,523,116

2² × 7 × 43 × 7079

8,523,116 factors as 2^2 × 7 × 43 × 7079. Its 24 positive divisors give a proper-divisor sum of 8,922,004, so this integer is abundant. The Collatz stopping time is 98 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 43 × 7079

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 17,445,120

Proper Divisor Sum 8,922,004

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #8523113 ← → #8523127

Radix Representation

Decimal	8523116
Binary	100000100000110101101100 (24 bits)
Octal	0o40406554
Hexadecimal	0x820D6C

Divisor Catalog (24)

Collatz Trajectory (98 steps to reach 1)

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

8,523,116 4,261,558 2,130,779 6,392,338 3,196,169 9,588,508 4,794,254 2,397,127 7,191,382 3,595,691 10,787,074 5,393,537 16,180,612 8,090,306 4,045,153 12,135,460 6,067,730 3,033,865 9,101,596 4,550,798 2,275,399 6,826,198 3,413,099 10,239,298 5,119,649 15,358,948 7,679,474 3,839,737 11,519,212 5,759,606 2,879,803 8,639,410 4,319,705 12,959,116 6,479,558 3,239,779 9,719,338 4,859,669 14,579,008 7,289,504 3,644,752 1,822,376 911,188 455,594 227,797 683,392 341,696 170,848 85,424 42,712 21,356 10,678 5,339 16,018 8,009 24,028 12,014 6,007 18,022 9,011

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