370,720

2⁵ × 5 × 7 × 331

370,720 has the prime decomposition 2^5 × 5 × 7 × 331. Its 4 distinct prime factors produce 48 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 5 × 7 × 331

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 1,003,968

Proper Divisor Sum 633,248

Digit Sum / Digital Root 19 (Root: 1)

Adjacent Primes #370693 ← → #370723

Radix Representation

Decimal	370720
Binary	1011010100000100000 (19 bits)
Octal	0o1324040
Hexadecimal	0x5A820

Divisor Catalog (48)

1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 331 560 662 1,120 1,324 1,655 2,317 2,648 3,310 4,634 5,296 6,620 9,268 10,592 11,585 13,240 18,536 23,170 26,480 37,072 46,340 52,960 74,144 92,680 185,360 370,720

Collatz Trajectory (55 steps to reach 1)

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

370,720 185,360 92,680 46,340 23,170 11,585 34,756 17,378 8,689 26,068 13,034 6,517 19,552 9,776 4,888 2,444 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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