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Atlas › Integer Profiles › Node 3,036,612

3,036,612

22 × 3 × 59 × 4289
Abundant Even Composite

3,036,612 factors as 2^2 × 3 × 59 × 4289. Its 24 positive divisors give a proper-divisor sum of 4,170,588, so this integer is abundant. The Collatz stopping time is 182 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 59 × 4289
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 7,207,200
Proper Divisor Sum 4,170,588
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #3036601 ← → #3036613

Radix Representation

Decimal 3036612
Binary 1011100101010111000100 (22 bits)
Octal 0o13452704
Hexadecimal 0x2E55C4

Divisor Catalog (24)

1 2 3 4 6 12 59 118 177 236 354 708 4,289 8,578 12,867 17,156 25,734 51,468 253,051 506,102 759,153 1,012,204 1,518,306 3,036,612

Collatz Trajectory (182 steps to reach 1)

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

3,036,612 1,518,306 759,153 2,277,460 1,138,730 569,365 1,708,096 854,048 427,024 213,512 106,756 53,378 26,689 80,068 40,034 20,017 60,052 30,026 15,013 45,040 22,520 11,260 5,630 2,815 8,446 4,223 12,670 6,335 19,006 9,503 28,510 14,255 42,766 21,383 64,150 32,075 96,226 48,113 144,340 72,170 36,085 108,256 54,128 27,064 13,532 6,766 3,383 10,150 5,075 15,226 7,613 22,840 11,420 5,710 2,855 8,566 4,283 12,850 6,425 19,276

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