359,980

2² × 5 × 41 × 439

359,980 has digital root 7. The neighboring primes are 359929 and 359981; its proper-divisor sum differs from the starting integer by 56,200.

Prime Factor Structure

Factorization String 2^2 × 5 × 41 × 439

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 776,160

Proper Divisor Sum 416,180

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #359929 ← → #359981

Radix Representation

Decimal	359980
Binary	1010111111000101100 (19 bits)
Octal	0o1277054
Hexadecimal	0x57E2C

Divisor Catalog (24)

1 2 4 5 10 20 41 82 164 205 410 439 820 878 1,756 2,195 4,390 8,780 17,999 35,998 71,996 89,995 179,990 359,980

Collatz Trajectory (65 steps to reach 1)

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

359,980 179,990 89,995 269,986 134,993 404,980 202,490 101,245 303,736 151,868 75,934 37,967 113,902 56,951 170,854 85,427 256,282 128,141 384,424 192,212 96,106 48,053 144,160 72,080 36,040 18,020 9,010 4,505 13,516 6,758 3,379 10,138 5,069 15,208 7,604 3,802 1,901 5,704 2,852 1,426 713 2,140 1,070 535 1,606 803 2,410 1,205 3,616 1,808 904 452 226 113 340 170 85 256 128 64

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