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Atlas › Integer Profiles › Node 6,301,044

6,301,044

22 × 33 × 41 × 1423
Abundant Even Composite

6,301,044 factors as 2^2 × 3^3 × 41 × 1423. Its 48 positive divisors give a proper-divisor sum of 10,445,196, so this integer is abundant. The Collatz stopping time is 90 steps.

Prime Factor Structure

Factorization String 2^2 × 3^3 × 41 × 1423
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 16,746,240
Proper Divisor Sum 10,445,196
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #6301039 ← → #6301049

Radix Representation

Decimal 6301044
Binary 11000000010010101110100 (23 bits)
Octal 0o30022564
Hexadecimal 0x602574

Divisor Catalog (48)

1 2 3 4 6 9 12 18 27 36 41 54 82 108 123 164 246 369 492 738 1,107 1,423 1,476 2,214 2,846 4,269 4,428 5,692 8,538 12,807 17,076 25,614 38,421 51,228 58,343 76,842 116,686 153,684 175,029 233,372 350,058 525,087 700,116 1,050,174 1,575,261 2,100,348 3,150,522 6,301,044

Collatz Trajectory (90 steps to reach 1)

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

6,301,044 3,150,522 1,575,261 4,725,784 2,362,892 1,181,446 590,723 1,772,170 886,085 2,658,256 1,329,128 664,564 332,282 166,141 498,424 249,212 124,606 62,303 186,910 93,455 280,366 140,183 420,550 210,275 630,826 315,413 946,240 473,120 236,560 118,280 59,140 29,570 14,785 44,356 22,178 11,089 33,268 16,634 8,317 24,952 12,476 6,238 3,119 9,358 4,679 14,038 7,019 21,058 10,529 31,588 15,794 7,897 23,692 11,846 5,923 17,770 8,885 26,656 13,328 6,664

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