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Atlas › Integer Profiles › Node 12,377,790

12,377,790

2 × 32 × 5 × 83 × 1657
Abundant Even Composite

12,377,790 factors as 2 × 3^2 × 5 × 83 × 1657. Its 48 positive divisors give a proper-divisor sum of 20,211,858, so this integer is abundant. The Collatz stopping time is 104 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 5 × 83 × 1657
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 32,589,648
Proper Divisor Sum 20,211,858
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #12377789 ← → #12377791

Radix Representation

Decimal 12377790
Binary 101111001101111010111110 (24 bits)
Octal 0o57157276
Hexadecimal 0xBCDEBE

Divisor Catalog (48)

1 2 3 5 6 9 10 15 18 30 45 83 90 166 249 415 498 747 830 1,245 1,494 1,657 2,490 3,314 3,735 4,971 7,470 8,285 9,942 14,913 16,570 24,855 29,826 49,710 74,565 137,531 149,130 275,062 412,593 687,655 825,186 1,237,779 1,375,310 2,062,965 2,475,558 4,125,930 6,188,895 12,377,790

Collatz Trajectory (104 steps to reach 1)

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

12,377,790 6,188,895 18,566,686 9,283,343 27,850,030 13,925,015 41,775,046 20,887,523 62,662,570 31,331,285 93,993,856 46,996,928 23,498,464 11,749,232 5,874,616 2,937,308 1,468,654 734,327 2,202,982 1,101,491 3,304,474 1,652,237 4,956,712 2,478,356 1,239,178 619,589 1,858,768 929,384 464,692 232,346 116,173 348,520 174,260 87,130 43,565 130,696 65,348 32,674 16,337 49,012 24,506 12,253 36,760 18,380 9,190 4,595 13,786 6,893 20,680 10,340 5,170 2,585 7,756 3,878 1,939 5,818 2,909 8,728 4,364 2,182

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