76,536,612

2² × 3² × 2126017

76,536,612 factors as 2^2 × 3^2 × 2126017. Its 18 positive divisors give a proper-divisor sum of 116,931,026, so this integer is abundant. The Collatz stopping time is 197 steps.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 2126017

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 18

Divisor Sum (σ) 193,467,638

Proper Divisor Sum 116,931,026

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #76536587 ← → #76536623

Radix Representation

Decimal	76536612
Binary	100100011111101101100100100 (27 bits)
Octal	0o443755444
Hexadecimal	0x48FDB24

Divisor Catalog (18)

1 2 3 4 6 9 12 18 36 2,126,017 4,252,034 6,378,051 8,504,068 12,756,102 19,134,153 25,512,204 38,268,306 76,536,612

Collatz Trajectory (197 steps to reach 1)

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

76,536,612 38,268,306 19,134,153 57,402,460 28,701,230 14,350,615 43,051,846 21,525,923 64,577,770 32,288,885 96,866,656 48,433,328 24,216,664 12,108,332 6,054,166 3,027,083 9,081,250 4,540,625 13,621,876 6,810,938 3,405,469 10,216,408 5,108,204 2,554,102 1,277,051 3,831,154 1,915,577 5,746,732 2,873,366 1,436,683 4,310,050 2,155,025 6,465,076 3,232,538 1,616,269 4,848,808 2,424,404 1,212,202 606,101 1,818,304 909,152 454,576 227,288 113,644 56,822 28,411 85,234 42,617 127,852 63,926 31,963 95,890 47,945 143,836 71,918 35,959 107,878 53,939 161,818 80,909

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