7,992,012

2² × 3 × 7 × 95143

7,992,012 factors as 2^2 × 3 × 7 × 95143. Its 24 positive divisors give a proper-divisor sum of 13,320,244, so this integer is abundant. The Collatz stopping time is 186 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 7 × 95143

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 21,312,256

Proper Divisor Sum 13,320,244

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #7992011 ← → #7992031

Radix Representation

Decimal	7992012
Binary	11110011111001011001100 (23 bits)
Octal	0o36371314
Hexadecimal	0x79F2CC

Divisor Catalog (24)

Collatz Trajectory (186 steps to reach 1)

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

7,992,012 3,996,006 1,998,003 5,994,010 2,997,005 8,991,016 4,495,508 2,247,754 1,123,877 3,371,632 1,685,816 842,908 421,454 210,727 632,182 316,091 948,274 474,137 1,422,412 711,206 355,603 1,066,810 533,405 1,600,216 800,108 400,054 200,027 600,082 300,041 900,124 450,062 225,031 675,094 337,547 1,012,642 506,321 1,518,964 759,482 379,741 1,139,224 569,612 284,806 142,403 427,210 213,605 640,816 320,408 160,204 80,102 40,051 120,154 60,077 180,232 90,116 45,058 22,529 67,588 33,794 16,897 50,692

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