λ
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Atlas › Integer Profiles › Node 609,160

609,160

23 × 5 × 97 × 157
Abundant Even Composite

609,160 factors as 2^3 × 5 × 97 × 157. Its 32 positive divisors give a proper-divisor sum of 784,400, so this integer is abundant. The Collatz stopping time is 84 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 97 × 157
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 1,393,560
Proper Divisor Sum 784,400
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #609149 ← → #609163

Radix Representation

Decimal 609160
Binary 10010100101110001000 (20 bits)
Octal 0o2245610
Hexadecimal 0x94B88

Divisor Catalog (32)

1 2 4 5 8 10 20 40 97 157 194 314 388 485 628 776 785 970 1,256 1,570 1,940 3,140 3,880 6,280 15,229 30,458 60,916 76,145 121,832 152,290 304,580 609,160

Collatz Trajectory (84 steps to reach 1)

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

609,160 304,580 152,290 76,145 228,436 114,218 57,109 171,328 85,664 42,832 21,416 10,708 5,354 2,677 8,032 4,016 2,008 1,004 502 251 754 377 1,132 566 283 850 425 1,276 638 319 958 479 1,438 719 2,158 1,079 3,238 1,619 4,858 2,429 7,288 3,644 1,822 911 2,734 1,367 4,102 2,051 6,154 3,077 9,232 4,616 2,308 1,154 577 1,732 866 433 1,300 650

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