12,378,420

2² × 3⁷ × 5 × 283

12,378,420 factors as 2^2 × 3^7 × 5 × 283. Its 96 positive divisors give a proper-divisor sum of 26,745,420, so this integer is abundant. The Collatz stopping time is 228 steps.

Prime Factor Structure

Factorization String 2^2 × 3^7 × 5 × 283

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 39,123,840

Proper Divisor Sum 26,745,420

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #12378419 ← → #12378427

Radix Representation

Decimal	12378420
Binary	101111001110000100110100 (24 bits)
Octal	0o57160464
Hexadecimal	0xBCE134

Divisor Catalog (60 of 96)

1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 283 324 405 486 540 566 729 810 849 972 1,132 1,215 1,415 1,458 1,620 1,698 2,187 2,430 2,547 2,830 2,916 3,396 3,645 4,245 4,374 4,860 5,094 5,660 7,290 7,641 8,490 8,748 10,188 10,935

Collatz Trajectory (228 steps to reach 1)

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

12,378,420 6,189,210 3,094,605 9,283,816 4,641,908 2,320,954 1,160,477 3,481,432 1,740,716 870,358 435,179 1,305,538 652,769 1,958,308 979,154 489,577 1,468,732 734,366 367,183 1,101,550 550,775 1,652,326 826,163 2,478,490 1,239,245 3,717,736 1,858,868 929,434 464,717 1,394,152 697,076 348,538 174,269 522,808 261,404 130,702 65,351 196,054 98,027 294,082 147,041 441,124 220,562 110,281 330,844 165,422 82,711 248,134 124,067 372,202 186,101 558,304 279,152 139,576 69,788 34,894 17,447 52,342 26,171 78,514

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #12,378,419 Browse Full Index Next Integer #12,378,421 →