λ
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Atlas › Integer Profiles › Node 4,232,144

4,232,144

24 × 7 × 29 × 1303
Abundant Even Composite

4,232,144 factors as 2^4 × 7 × 29 × 1303. Its 40 positive divisors give a proper-divisor sum of 5,469,616, so this integer is abundant. The Collatz stopping time is 149 steps.

Prime Factor Structure

Factorization String 2^4 × 7 × 29 × 1303
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 9,701,760
Proper Divisor Sum 5,469,616
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #4232131 ← → #4232147

Radix Representation

Decimal 4232144
Binary 10000001001001111010000 (23 bits)
Octal 0o20111720
Hexadecimal 0x4093D0

Divisor Catalog (40)

1 2 4 7 8 14 16 28 29 56 58 112 116 203 232 406 464 812 1,303 1,624 2,606 3,248 5,212 9,121 10,424 18,242 20,848 36,484 37,787 72,968 75,574 145,936 151,148 264,509 302,296 529,018 604,592 1,058,036 2,116,072 4,232,144

Collatz Trajectory (149 steps to reach 1)

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

4,232,144 2,116,072 1,058,036 529,018 264,509 793,528 396,764 198,382 99,191 297,574 148,787 446,362 223,181 669,544 334,772 167,386 83,693 251,080 125,540 62,770 31,385 94,156 47,078 23,539 70,618 35,309 105,928 52,964 26,482 13,241 39,724 19,862 9,931 29,794 14,897 44,692 22,346 11,173 33,520 16,760 8,380 4,190 2,095 6,286 3,143 9,430 4,715 14,146 7,073 21,220 10,610 5,305 15,916 7,958 3,979 11,938 5,969 17,908 8,954 4,477

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