13,744,444

2² × 7 × 331 × 1483

13,744,444 factors as 2^2 × 7 × 331 × 1483. Its 24 positive divisors give a proper-divisor sum of 13,846,084, so this integer is abundant. The Collatz stopping time is 161 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 331 × 1483

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 27,590,528

Proper Divisor Sum 13,846,084

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #13744441 ← → #13744453

Radix Representation

Decimal	13744444
Binary	110100011011100100111100 (24 bits)
Octal	0o64334474
Hexadecimal	0xD1B93C

Divisor Catalog (24)

Collatz Trajectory (161 steps to reach 1)

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

13,744,444 6,872,222 3,436,111 10,308,334 5,154,167 15,462,502 7,731,251 23,193,754 11,596,877 34,790,632 17,395,316 8,697,658 4,348,829 13,046,488 6,523,244 3,261,622 1,630,811 4,892,434 2,446,217 7,338,652 3,669,326 1,834,663 5,503,990 2,751,995 8,255,986 4,127,993 12,383,980 6,191,990 3,095,995 9,287,986 4,643,993 13,931,980 6,965,990 3,482,995 10,448,986 5,224,493 15,673,480 7,836,740 3,918,370 1,959,185 5,877,556 2,938,778 1,469,389 4,408,168 2,204,084 1,102,042 551,021 1,653,064 826,532 413,266 206,633 619,900 309,950 154,975 464,926 232,463 697,390 348,695 1,046,086 523,043

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