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Atlas › Integer Profiles › Node 7,684,152

7,684,152

23 × 3 × 7 × 53 × 863
Abundant Even Composite

7,684,152 factors as 2^3 × 3 × 7 × 53 × 863. Its 64 positive divisors give a proper-divisor sum of 14,710,728, so this integer is abundant. The Collatz stopping time is 72 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 7 × 53 × 863
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 22,394,880
Proper Divisor Sum 14,710,728
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #7684147 ← → #7684169

Radix Representation

Decimal 7684152
Binary 11101010100000000111000 (23 bits)
Octal 0o35240070
Hexadecimal 0x754038

Divisor Catalog (60 of 64)

1 2 3 4 6 7 8 12 14 21 24 28 42 53 56 84 106 159 168 212 318 371 424 636 742 863 1,113 1,272 1,484 1,726 2,226 2,589 2,968 3,452 4,452 5,178 6,041 6,904 8,904 10,356 12,082 18,123 20,712 24,164 36,246 45,739 48,328 72,492 91,478 137,217 144,984 182,956 274,434 320,173 365,912 548,868 640,346 960,519 1,097,736 1,280,692

Collatz Trajectory (72 steps to reach 1)

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

7,684,152 3,842,076 1,921,038 960,519 2,881,558 1,440,779 4,322,338 2,161,169 6,483,508 3,241,754 1,620,877 4,862,632 2,431,316 1,215,658 607,829 1,823,488 911,744 455,872 227,936 113,968 56,984 28,492 14,246 7,123 21,370 10,685 32,056 16,028 8,014 4,007 12,022 6,011 18,034 9,017 27,052 13,526 6,763 20,290 10,145 30,436 15,218 7,609 22,828 11,414 5,707 17,122 8,561 25,684 12,842 6,421 19,264 9,632 4,816 2,408 1,204 602 301 904 452 226

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