λ
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1,316,628

22 × 33 × 73 × 167
Abundant Even Composite

1,316,628 factors as 2^2 × 3^3 × 73 × 167. Its 48 positive divisors give a proper-divisor sum of 2,164,332, so this integer is abundant. The Collatz stopping time is 62 steps.

Prime Factor Structure

Factorization String 2^2 × 3^3 × 73 × 167
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 3,480,960
Proper Divisor Sum 2,164,332
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #1316621 ← → #1316639

Radix Representation

Decimal 1316628
Binary 101000001011100010100 (21 bits)
Octal 0o5013424
Hexadecimal 0x141714

Divisor Catalog (48)

1 2 3 4 6 9 12 18 27 36 54 73 108 146 167 219 292 334 438 501 657 668 876 1,002 1,314 1,503 1,971 2,004 2,628 3,006 3,942 4,509 6,012 7,884 9,018 12,191 18,036 24,382 36,573 48,764 73,146 109,719 146,292 219,438 329,157 438,876 658,314 1,316,628

Collatz Trajectory (62 steps to reach 1)

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

1,316,628 658,314 329,157 987,472 493,736 246,868 123,434 61,717 185,152 92,576 46,288 23,144 11,572 5,786 2,893 8,680 4,340 2,170 1,085 3,256 1,628 814 407 1,222 611 1,834 917 2,752 1,376 688 344 172 86 43 130 65 196 98 49 148 74 37 112 56 28 14 7 22 11 34 17 52 26 13 40 20 10 5 16 8

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