λ
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Atlas › Integer Profiles › Node 14,780,090

14,780,090

2 × 5 × 13 × 41 × 47 × 59
Abundant Even Composite

14,780,090 factors as 2 × 5 × 13 × 41 × 47 × 59. Its 64 positive divisors give a proper-divisor sum of 15,701,830, so this integer is abundant. The Collatz stopping time is 311 steps.

Prime Factor Structure

Factorization String 2 × 5 × 13 × 41 × 47 × 59
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 30,481,920
Proper Divisor Sum 15,701,830
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #14780071 ← → #14780093

Radix Representation

Decimal 14780090
Binary 111000011000011010111010 (24 bits)
Octal 0o70303272
Hexadecimal 0xE186BA

Divisor Catalog (60 of 64)

1 2 5 10 13 26 41 47 59 65 82 94 118 130 205 235 295 410 470 533 590 611 767 1,066 1,222 1,534 1,927 2,419 2,665 2,773 3,055 3,835 3,854 4,838 5,330 5,546 6,110 7,670 9,635 12,095 13,865 19,270 24,190 25,051 27,730 31,447 36,049 50,102 62,894 72,098 113,693 125,255 157,235 180,245 227,386 250,510 314,470 360,490 568,465 1,136,930

Collatz Trajectory (311 steps to reach 1)

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

14,780,090 7,390,045 22,170,136 11,085,068 5,542,534 2,771,267 8,313,802 4,156,901 12,470,704 6,235,352 3,117,676 1,558,838 779,419 2,338,258 1,169,129 3,507,388 1,753,694 876,847 2,630,542 1,315,271 3,945,814 1,972,907 5,918,722 2,959,361 8,878,084 4,439,042 2,219,521 6,658,564 3,329,282 1,664,641 4,993,924 2,496,962 1,248,481 3,745,444 1,872,722 936,361 2,809,084 1,404,542 702,271 2,106,814 1,053,407 3,160,222 1,580,111 4,740,334 2,370,167 7,110,502 3,555,251 10,665,754 5,332,877 15,998,632 7,999,316 3,999,658 1,999,829 5,999,488 2,999,744 1,499,872 749,936 374,968 187,484 93,742

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