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Atlas › Integer Profiles › Node 3,136,656

3,136,656

24 × 3 × 101 × 647
Abundant Even Composite

3,136,656 factors as 2^4 × 3 × 101 × 647. Its 40 positive divisors give a proper-divisor sum of 5,059,248, so this integer is abundant. The Collatz stopping time is 164 steps.

Prime Factor Structure

Factorization String 2^4 × 3 × 101 × 647
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 8,195,904
Proper Divisor Sum 5,059,248
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #3136649 ← → #3136657

Radix Representation

Decimal 3136656
Binary 1011111101110010010000 (22 bits)
Octal 0o13756220
Hexadecimal 0x2FDC90

Divisor Catalog (40)

1 2 3 4 6 8 12 16 24 48 101 202 303 404 606 647 808 1,212 1,294 1,616 1,941 2,424 2,588 3,882 4,848 5,176 7,764 10,352 15,528 31,056 65,347 130,694 196,041 261,388 392,082 522,776 784,164 1,045,552 1,568,328 3,136,656

Collatz Trajectory (164 steps to reach 1)

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

3,136,656 1,568,328 784,164 392,082 196,041 588,124 294,062 147,031 441,094 220,547 661,642 330,821 992,464 496,232 248,116 124,058 62,029 186,088 93,044 46,522 23,261 69,784 34,892 17,446 8,723 26,170 13,085 39,256 19,628 9,814 4,907 14,722 7,361 22,084 11,042 5,521 16,564 8,282 4,141 12,424 6,212 3,106 1,553 4,660 2,330 1,165 3,496 1,748 874 437 1,312 656 328 164 82 41 124 62 31 94

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