378,477

3² × 11 × 3823

378,477 is odd and not a perfect square. Its factorization is 3^2 × 11 × 3823 and its 12 divisors sum to 596,544.

Prime Factor Structure

Factorization String 3^2 × 11 × 3823

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 596,544

Proper Divisor Sum 218,067

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #378467 ← → #378493

Radix Representation

Decimal	378477
Binary	1011100011001101101 (19 bits)
Octal	0o1343155
Hexadecimal	0x5C66D

Divisor Catalog (12)

1 3 9 11 33 99 3,823 11,469 34,407 42,053 126,159 378,477

Collatz Trajectory (117 steps to reach 1)

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

378,477 1,135,432 567,716 283,858 141,929 425,788 212,894 106,447 319,342 159,671 479,014 239,507 718,522 359,261 1,077,784 538,892 269,446 134,723 404,170 202,085 606,256 303,128 151,564 75,782 37,891 113,674 56,837 170,512 85,256 42,628 21,314 10,657 31,972 15,986 7,993 23,980 11,990 5,995 17,986 8,993 26,980 13,490 6,745 20,236 10,118 5,059 15,178 7,589 22,768 11,384 5,692 2,846 1,423 4,270 2,135 6,406 3,203 9,610 4,805 14,416

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