λ
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646,840

23 × 5 × 103 × 157
Abundant Even Composite

646,840 factors as 2^3 × 5 × 103 × 157. Its 32 positive divisors give a proper-divisor sum of 832,040, so this integer is abundant. The Collatz stopping time is 185 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 103 × 157
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 1,478,880
Proper Divisor Sum 832,040
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #646837 ← → #646843

Radix Representation

Decimal 646840
Binary 10011101111010111000 (20 bits)
Octal 0o2357270
Hexadecimal 0x9DEB8

Divisor Catalog (32)

1 2 4 5 8 10 20 40 103 157 206 314 412 515 628 785 824 1,030 1,256 1,570 2,060 3,140 4,120 6,280 16,171 32,342 64,684 80,855 129,368 161,710 323,420 646,840

Collatz Trajectory (185 steps to reach 1)

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

646,840 323,420 161,710 80,855 242,566 121,283 363,850 181,925 545,776 272,888 136,444 68,222 34,111 102,334 51,167 153,502 76,751 230,254 115,127 345,382 172,691 518,074 259,037 777,112 388,556 194,278 97,139 291,418 145,709 437,128 218,564 109,282 54,641 163,924 81,962 40,981 122,944 61,472 30,736 15,368 7,684 3,842 1,921 5,764 2,882 1,441 4,324 2,162 1,081 3,244 1,622 811 2,434 1,217 3,652 1,826 913 2,740 1,370 685

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