370,209

3 × 7 × 17² × 61

For 370,209, the 24 positive divisors have a total of 609,088. Removing 370,209 leaves 238,879, which gives the deficient classification.

Prime Factor Structure

Factorization String 3 × 7 × 17^2 × 61

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 609,088

Proper Divisor Sum 238,879

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #370207 ← → #370213

Radix Representation

Decimal	370209
Binary	1011010011000100001 (19 bits)
Octal	0o1323041
Hexadecimal	0x5A621

Divisor Catalog (24)

1 3 7 17 21 51 61 119 183 289 357 427 867 1,037 1,281 2,023 3,111 6,069 7,259 17,629 21,777 52,887 123,403 370,209

Collatz Trajectory (135 steps to reach 1)

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

370,209 1,110,628 555,314 277,657 832,972 416,486 208,243 624,730 312,365 937,096 468,548 234,274 117,137 351,412 175,706 87,853 263,560 131,780 65,890 32,945 98,836 49,418 24,709 74,128 37,064 18,532 9,266 4,633 13,900 6,950 3,475 10,426 5,213 15,640 7,820 3,910 1,955 5,866 2,933 8,800 4,400 2,200 1,100 550 275 826 413 1,240 620 310 155 466 233 700 350 175 526 263 790 395

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