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Atlas › Integer Profiles › Node 14,101,048

14,101,048

23 × 13 × 41 × 3307
Abundant Even Composite

14,101,048 factors as 2^3 × 13 × 41 × 3307. Its 32 positive divisors give a proper-divisor sum of 15,075,512, so this integer is abundant. The Collatz stopping time is 104 steps.

Prime Factor Structure

Factorization String 2^3 × 13 × 41 × 3307
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 29,176,560
Proper Divisor Sum 15,075,512
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #14101037 ← → #14101049

Radix Representation

Decimal 14101048
Binary 110101110010101000111000 (24 bits)
Octal 0o65625070
Hexadecimal 0xD72A38

Divisor Catalog (32)

1 2 4 8 13 26 41 52 82 104 164 328 533 1,066 2,132 3,307 4,264 6,614 13,228 26,456 42,991 85,982 135,587 171,964 271,174 343,928 542,348 1,084,696 1,762,631 3,525,262 7,050,524 14,101,048

Collatz Trajectory (104 steps to reach 1)

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

14,101,048 7,050,524 3,525,262 1,762,631 5,287,894 2,643,947 7,931,842 3,965,921 11,897,764 5,948,882 2,974,441 8,923,324 4,461,662 2,230,831 6,692,494 3,346,247 10,038,742 5,019,371 15,058,114 7,529,057 22,587,172 11,293,586 5,646,793 16,940,380 8,470,190 4,235,095 12,705,286 6,352,643 19,057,930 9,528,965 28,586,896 14,293,448 7,146,724 3,573,362 1,786,681 5,360,044 2,680,022 1,340,011 4,020,034 2,010,017 6,030,052 3,015,026 1,507,513 4,522,540 2,261,270 1,130,635 3,391,906 1,695,953 5,087,860 2,543,930 1,271,965 3,815,896 1,907,948 953,974 476,987 1,430,962 715,481 2,146,444 1,073,222 536,611

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