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Atlas › Integer Profiles › Node 9,026,224

9,026,224

24 × 37 × 79 × 193
Abundant Even Composite

9,026,224 factors as 2^4 × 37 × 79 × 193. Its 40 positive divisors give a proper-divisor sum of 9,256,336, so this integer is abundant. The Collatz stopping time is 62 steps.

Prime Factor Structure

Factorization String 2^4 × 37 × 79 × 193
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 18,282,560
Proper Divisor Sum 9,256,336
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #9026203 ← → #9026249

Radix Representation

Decimal 9026224
Binary 100010011011101010110000 (24 bits)
Octal 0o42335260
Hexadecimal 0x89BAB0

Divisor Catalog (40)

1 2 4 8 16 37 74 79 148 158 193 296 316 386 592 632 772 1,264 1,544 2,923 3,088 5,846 7,141 11,692 14,282 15,247 23,384 28,564 30,494 46,768 57,128 60,988 114,256 121,976 243,952 564,139 1,128,278 2,256,556 4,513,112 9,026,224

Collatz Trajectory (62 steps to reach 1)

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

9,026,224 4,513,112 2,256,556 1,128,278 564,139 1,692,418 846,209 2,538,628 1,269,314 634,657 1,903,972 951,986 475,993 1,427,980 713,990 356,995 1,070,986 535,493 1,606,480 803,240 401,620 200,810 100,405 301,216 150,608 75,304 37,652 18,826 9,413 28,240 14,120 7,060 3,530 1,765 5,296 2,648 1,324 662 331 994 497 1,492 746 373 1,120 560 280 140 70 35 106 53 160 80 40 20 10 5 16 8

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