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Atlas › Integer Profiles › Node 40,173,232

40,173,232

24 × 11 × 228257
Abundant Even Composite

40,173,232 factors as 2^4 × 11 × 228257. Its 20 positive divisors give a proper-divisor sum of 44,738,744, so this integer is abundant. The Collatz stopping time is 315 steps.

Prime Factor Structure

Factorization String 2^4 × 11 × 228257
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 84,911,976
Proper Divisor Sum 44,738,744
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #40173209 ← → #40173247

Radix Representation

Decimal 40173232
Binary 10011001001111111010110000 (26 bits)
Octal 0o231177260
Hexadecimal 0x264FEB0

Divisor Catalog (20)

1 2 4 8 11 16 22 44 88 176 228,257 456,514 913,028 1,826,056 2,510,827 3,652,112 5,021,654 10,043,308 20,086,616 40,173,232

Collatz Trajectory (315 steps to reach 1)

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

40,173,232 20,086,616 10,043,308 5,021,654 2,510,827 7,532,482 3,766,241 11,298,724 5,649,362 2,824,681 8,474,044 4,237,022 2,118,511 6,355,534 3,177,767 9,533,302 4,766,651 14,299,954 7,149,977 21,449,932 10,724,966 5,362,483 16,087,450 8,043,725 24,131,176 12,065,588 6,032,794 3,016,397 9,049,192 4,524,596 2,262,298 1,131,149 3,393,448 1,696,724 848,362 424,181 1,272,544 636,272 318,136 159,068 79,534 39,767 119,302 59,651 178,954 89,477 268,432 134,216 67,108 33,554 16,777 50,332 25,166 12,583 37,750 18,875 56,626 28,313 84,940 42,470

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