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Atlas › Integer Profiles › Node 1,671,920

1,671,920

24 × 5 × 20899
Abundant Even Composite

1,671,920 factors as 2^4 × 5 × 20899. Its 20 positive divisors give a proper-divisor sum of 2,215,480, so this integer is abundant. The Collatz stopping time is 158 steps.

Prime Factor Structure

Factorization String 2^4 × 5 × 20899
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 3,887,400
Proper Divisor Sum 2,215,480
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #1671907 ← → #1671941

Radix Representation

Decimal 1671920
Binary 110011000001011110000 (21 bits)
Octal 0o6301360
Hexadecimal 0x1982F0

Divisor Catalog (20)

1 2 4 5 8 10 16 20 40 80 20,899 41,798 83,596 104,495 167,192 208,990 334,384 417,980 835,960 1,671,920

Collatz Trajectory (158 steps to reach 1)

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

1,671,920 835,960 417,980 208,990 104,495 313,486 156,743 470,230 235,115 705,346 352,673 1,058,020 529,010 264,505 793,516 396,758 198,379 595,138 297,569 892,708 446,354 223,177 669,532 334,766 167,383 502,150 251,075 753,226 376,613 1,129,840 564,920 282,460 141,230 70,615 211,846 105,923 317,770 158,885 476,656 238,328 119,164 59,582 29,791 89,374 44,687 134,062 67,031 201,094 100,547 301,642 150,821 452,464 226,232 113,116 56,558 28,279 84,838 42,419 127,258 63,629

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