370,176

2⁹ × 3 × 241

370,176 factors as 2^9 × 3 × 241. Its 40 positive divisors give a proper-divisor sum of 620,088, so this integer is abundant. The Collatz stopping time is 55 steps.

Prime Factor Structure

Factorization String 2^9 × 3 × 241

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 990,264

Proper Divisor Sum 620,088

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #370169 ← → #370193

Radix Representation

Decimal	370176
Binary	1011010011000000000 (19 bits)
Octal	0o1323000
Hexadecimal	0x5A600

Divisor Catalog (40)

1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 241 256 384 482 512 723 768 964 1,446 1,536 1,928 2,892 3,856 5,784 7,712 11,568 15,424 23,136 30,848 46,272 61,696 92,544 123,392 185,088 370,176

Collatz Trajectory (55 steps to reach 1)

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

370,176 185,088 92,544 46,272 23,136 11,568 5,784 2,892 1,446 723 2,170 1,085 3,256 1,628 814 407 1,222 611 1,834 917 2,752 1,376 688 344 172 86 43 130 65 196 98 49 148 74 37 112 56 28 14 7 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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