710,210

2 × 5 × 29 × 31 × 79

710,210 has the prime decomposition 2 × 5 × 29 × 31 × 79. Its 5 distinct prime factors produce 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 5 × 29 × 31 × 79

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 1,382,400

Proper Divisor Sum 672,190

Digit Sum / Digital Root 11 (Root: 2)

Adjacent Primes #710207 ← → #710219

Radix Representation

Decimal	710210
Binary	10101101011001000010 (20 bits)
Octal	0o2553102
Hexadecimal	0xAD642

Divisor Catalog (32)

1 2 5 10 29 31 58 62 79 145 155 158 290 310 395 790 899 1,798 2,291 2,449 4,495 4,582 4,898 8,990 11,455 12,245 22,910 24,490 71,021 142,042 355,105 710,210

Collatz Trajectory (61 steps to reach 1)

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

710,210 355,105 1,065,316 532,658 266,329 798,988 399,494 199,747 599,242 299,621 898,864 449,432 224,716 112,358 56,179 168,538 84,269 252,808 126,404 63,202 31,601 94,804 47,402 23,701 71,104 35,552 17,776 8,888 4,444 2,222 1,111 3,334 1,667 5,002 2,501 7,504 3,752 1,876 938 469 1,408 704 352 176 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4

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