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Atlas › Integer Profiles › Node 2,175,448

2,175,448

23 × 11 × 59 × 419
Abundant Even Composite

2,175,448 factors as 2^3 × 11 × 59 × 419. Its 32 positive divisors give a proper-divisor sum of 2,360,552, so this integer is abundant. The Collatz stopping time is 117 steps.

Prime Factor Structure

Factorization String 2^3 × 11 × 59 × 419
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 4,536,000
Proper Divisor Sum 2,360,552
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #2175431 ← → #2175449

Radix Representation

Decimal 2175448
Binary 1000010011000111011000 (22 bits)
Octal 0o10230730
Hexadecimal 0x2131D8

Divisor Catalog (32)

1 2 4 8 11 22 44 59 88 118 236 419 472 649 838 1,298 1,676 2,596 3,352 4,609 5,192 9,218 18,436 24,721 36,872 49,442 98,884 197,768 271,931 543,862 1,087,724 2,175,448

Collatz Trajectory (117 steps to reach 1)

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

2,175,448 1,087,724 543,862 271,931 815,794 407,897 1,223,692 611,846 305,923 917,770 458,885 1,376,656 688,328 344,164 172,082 86,041 258,124 129,062 64,531 193,594 96,797 290,392 145,196 72,598 36,299 108,898 54,449 163,348 81,674 40,837 122,512 61,256 30,628 15,314 7,657 22,972 11,486 5,743 17,230 8,615 25,846 12,923 38,770 19,385 58,156 29,078 14,539 43,618 21,809 65,428 32,714 16,357 49,072 24,536 12,268 6,134 3,067 9,202 4,601 13,804

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