362,084

2² × 131 × 691

362,084 has digital root 5. The neighboring primes are 362081 and 362093; its proper-divisor sum differs from the starting integer by -84,760.

Prime Factor Structure

Factorization String 2^2 × 131 × 691

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 639,408

Proper Divisor Sum 277,324

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #362081 ← → #362093

Radix Representation

Decimal	362084
Binary	1011000011001100100 (19 bits)
Octal	0o1303144
Hexadecimal	0x58664

Divisor Catalog (12)

1 2 4 131 262 524 691 1,382 2,764 90,521 181,042 362,084

Collatz Trajectory (117 steps to reach 1)

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

362,084 181,042 90,521 271,564 135,782 67,891 203,674 101,837 305,512 152,756 76,378 38,189 114,568 57,284 28,642 14,321 42,964 21,482 10,741 32,224 16,112 8,056 4,028 2,014 1,007 3,022 1,511 4,534 2,267 6,802 3,401 10,204 5,102 2,551 7,654 3,827 11,482 5,741 17,224 8,612 4,306 2,153 6,460 3,230 1,615 4,846 2,423 7,270 3,635 10,906 5,453 16,360 8,180 4,090 2,045 6,136 3,068 1,534 767 2,302

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