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Atlas › Integer Profiles › Node 4,158,160

4,158,160

24 × 5 × 51977
Abundant Even Composite

4,158,160 factors as 2^4 × 5 × 51977. Its 20 positive divisors give a proper-divisor sum of 5,509,748, so this integer is abundant. The Collatz stopping time is 167 steps.

Prime Factor Structure

Factorization String 2^4 × 5 × 51977
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 9,667,908
Proper Divisor Sum 5,509,748
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #4158157 ← → #4158163

Radix Representation

Decimal 4158160
Binary 1111110111001011010000 (22 bits)
Octal 0o17671320
Hexadecimal 0x3F72D0

Divisor Catalog (20)

1 2 4 5 8 10 16 20 40 80 51,977 103,954 207,908 259,885 415,816 519,770 831,632 1,039,540 2,079,080 4,158,160

Collatz Trajectory (167 steps to reach 1)

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

4,158,160 2,079,080 1,039,540 519,770 259,885 779,656 389,828 194,914 97,457 292,372 146,186 73,093 219,280 109,640 54,820 27,410 13,705 41,116 20,558 10,279 30,838 15,419 46,258 23,129 69,388 34,694 17,347 52,042 26,021 78,064 39,032 19,516 9,758 4,879 14,638 7,319 21,958 10,979 32,938 16,469 49,408 24,704 12,352 6,176 3,088 1,544 772 386 193 580 290 145 436 218 109 328 164 82 41 124

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