346,984

2³ × 11 × 3943

346,984 has the prime decomposition 2^3 × 11 × 3943. Its 3 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 11 × 3943

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 709,920

Proper Divisor Sum 362,936

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #346963 ← → #347003

Radix Representation

Decimal	346984
Binary	1010100101101101000 (19 bits)
Octal	0o1245550
Hexadecimal	0x54B68

Divisor Catalog (16)

1 2 4 8 11 22 44 88 3,943 7,886 15,772 31,544 43,373 86,746 173,492 346,984

Collatz Trajectory (166 steps to reach 1)

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

346,984 173,492 86,746 43,373 130,120 65,060 32,530 16,265 48,796 24,398 12,199 36,598 18,299 54,898 27,449 82,348 41,174 20,587 61,762 30,881 92,644 46,322 23,161 69,484 34,742 17,371 52,114 26,057 78,172 39,086 19,543 58,630 29,315 87,946 43,973 131,920 65,960 32,980 16,490 8,245 24,736 12,368 6,184 3,092 1,546 773 2,320 1,160 580 290 145 436 218 109 328 164 82 41 124 62

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