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Atlas › Integer Profiles › Node 20,002,960

20,002,960

24 × 5 × 250037
Abundant Even Composite

20,002,960 factors as 2^4 × 5 × 250037. Its 20 positive divisors give a proper-divisor sum of 26,504,108, so this integer is abundant. The Collatz stopping time is 296 steps.

Prime Factor Structure

Factorization String 2^4 × 5 × 250037
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 46,507,068
Proper Divisor Sum 26,504,108
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #20002951 ← → #20002979

Radix Representation

Decimal 20002960
Binary 1001100010011100010010000 (25 bits)
Octal 0o114234220
Hexadecimal 0x1313890

Divisor Catalog (20)

1 2 4 5 8 10 16 20 40 80 250,037 500,074 1,000,148 1,250,185 2,000,296 2,500,370 4,000,592 5,000,740 10,001,480 20,002,960

Collatz Trajectory (296 steps to reach 1)

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

20,002,960 10,001,480 5,000,740 2,500,370 1,250,185 3,750,556 1,875,278 937,639 2,812,918 1,406,459 4,219,378 2,109,689 6,329,068 3,164,534 1,582,267 4,746,802 2,373,401 7,120,204 3,560,102 1,780,051 5,340,154 2,670,077 8,010,232 4,005,116 2,002,558 1,001,279 3,003,838 1,501,919 4,505,758 2,252,879 6,758,638 3,379,319 10,137,958 5,068,979 15,206,938 7,603,469 22,810,408 11,405,204 5,702,602 2,851,301 8,553,904 4,276,952 2,138,476 1,069,238 534,619 1,603,858 801,929 2,405,788 1,202,894 601,447 1,804,342 902,171 2,706,514 1,353,257 4,059,772 2,029,886 1,014,943 3,044,830 1,522,415 4,567,246

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