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Atlas › Integer Profiles › Node 2,117,448

2,117,448

23 × 33 × 9803
Abundant Even Composite

2,117,448 factors as 2^3 × 3^3 × 9803. Its 32 positive divisors give a proper-divisor sum of 3,764,952, so this integer is abundant. The Collatz stopping time is 78 steps.

Prime Factor Structure

Factorization String 2^3 × 3^3 × 9803
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 5,882,400
Proper Divisor Sum 3,764,952
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #2117447 ← → #2117461

Radix Representation

Decimal 2117448
Binary 1000000100111101001000 (22 bits)
Octal 0o10047510
Hexadecimal 0x204F48

Divisor Catalog (32)

1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 9,803 19,606 29,409 39,212 58,818 78,424 88,227 117,636 176,454 235,272 264,681 352,908 529,362 705,816 1,058,724 2,117,448

Collatz Trajectory (78 steps to reach 1)

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

2,117,448 1,058,724 529,362 264,681 794,044 397,022 198,511 595,534 297,767 893,302 446,651 1,339,954 669,977 2,009,932 1,004,966 502,483 1,507,450 753,725 2,261,176 1,130,588 565,294 282,647 847,942 423,971 1,271,914 635,957 1,907,872 953,936 476,968 238,484 119,242 59,621 178,864 89,432 44,716 22,358 11,179 33,538 16,769 50,308 25,154 12,577 37,732 18,866 9,433 28,300 14,150 7,075 21,226 10,613 31,840 15,920 7,960 3,980 1,990 995 2,986 1,493 4,480 2,240

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