378,249

3 × 59 × 2137

378,249 factors as 3 × 59 × 2137. Its 8 positive divisors give a proper-divisor sum of 134,871, so this integer is deficient. The Collatz stopping time is 130 steps.

Prime Factor Structure

Factorization String 3 × 59 × 2137

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 513,120

Proper Divisor Sum 134,871

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #378241 ← → #378253

Radix Representation

Decimal	378249
Binary	1011100010110001001 (19 bits)
Octal	0o1342611
Hexadecimal	0x5C589

Divisor Catalog (8)

1 3 59 177 2,137 6,411 126,083 378,249

Collatz Trajectory (130 steps to reach 1)

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

378,249 1,134,748 567,374 283,687 851,062 425,531 1,276,594 638,297 1,914,892 957,446 478,723 1,436,170 718,085 2,154,256 1,077,128 538,564 269,282 134,641 403,924 201,962 100,981 302,944 151,472 75,736 37,868 18,934 9,467 28,402 14,201 42,604 21,302 10,651 31,954 15,977 47,932 23,966 11,983 35,950 17,975 53,926 26,963 80,890 40,445 121,336 60,668 30,334 15,167 45,502 22,751 68,254 34,127 102,382 51,191 153,574 76,787 230,362 115,181 345,544 172,772 86,386

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