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70,470

2 × 35 × 5 × 29
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^5 × 5 × 29
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 196,560
Proper Divisor Sum 126,090
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #70459 ← → #70481

Radix Representation

Decimal 70470
Binary 10001001101000110 (17 bits)
Octal 0o211506
Hexadecimal 0x11346

Divisor Catalog (48)

1 2 3 5 6 9 10 15 18 27 29 30 45 54 58 81 87 90 135 145 162 174 243 261 270 290 405 435 486 522 783 810 870 1,215 1,305 1,566 2,349 2,430 2,610 3,915 4,698 7,047 7,830 11,745 14,094 23,490 35,235 70,470

Collatz Trajectory (81 steps to reach 1)

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

70,470 35,235 105,706 52,853 158,560 79,280 39,640 19,820 9,910 4,955 14,866 7,433 22,300 11,150 5,575 16,726 8,363 25,090 12,545 37,636 18,818 9,409 28,228 14,114 7,057 21,172 10,586 5,293 15,880 7,940 3,970 1,985 5,956 2,978 1,489 4,468 2,234 1,117 3,352 1,676 838 419 1,258 629 1,888 944 472 236 118 59 178 89 268 134 67 202 101 304 152 76

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