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670,293

32 × 13 × 17 × 337
Deficient Odd Composite

670,293 factors as 3^2 × 13 × 17 × 337. Its 24 positive divisors give a proper-divisor sum of 436,995, so this integer is deficient. The Collatz stopping time is 92 steps.

Prime Factor Structure

Factorization String 3^2 × 13 × 17 × 337
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 1,107,288
Proper Divisor Sum 436,995
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #670279 ← → #670297

Radix Representation

Decimal 670293
Binary 10100011101001010101 (20 bits)
Octal 0o2435125
Hexadecimal 0xA3A55

Divisor Catalog (24)

1 3 9 13 17 39 51 117 153 221 337 663 1,011 1,989 3,033 4,381 5,729 13,143 17,187 39,429 51,561 74,477 223,431 670,293

Collatz Trajectory (92 steps to reach 1)

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

670,293 2,010,880 1,005,440 502,720 251,360 125,680 62,840 31,420 15,710 7,855 23,566 11,783 35,350 17,675 53,026 26,513 79,540 39,770 19,885 59,656 29,828 14,914 7,457 22,372 11,186 5,593 16,780 8,390 4,195 12,586 6,293 18,880 9,440 4,720 2,360 1,180 590 295 886 443 1,330 665 1,996 998 499 1,498 749 2,248 1,124 562 281 844 422 211 634 317 952 476 238 119

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