λ
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Atlas › Integer Profiles › Node 5,874,064

5,874,064

24 × 7 × 179 × 293
Abundant Even Composite

5,874,064 factors as 2^4 × 7 × 179 × 293. Its 40 positive divisors give a proper-divisor sum of 7,250,096, so this integer is abundant. The Collatz stopping time is 196 steps.

Prime Factor Structure

Factorization String 2^4 × 7 × 179 × 293
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 13,124,160
Proper Divisor Sum 7,250,096
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #5874049 ← → #5874103

Radix Representation

Decimal 5874064
Binary 10110011010000110010000 (23 bits)
Octal 0o26320620
Hexadecimal 0x59A190

Divisor Catalog (40)

1 2 4 7 8 14 16 28 56 112 179 293 358 586 716 1,172 1,253 1,432 2,051 2,344 2,506 2,864 4,102 4,688 5,012 8,204 10,024 16,408 20,048 32,816 52,447 104,894 209,788 367,129 419,576 734,258 839,152 1,468,516 2,937,032 5,874,064

Collatz Trajectory (196 steps to reach 1)

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

5,874,064 2,937,032 1,468,516 734,258 367,129 1,101,388 550,694 275,347 826,042 413,021 1,239,064 619,532 309,766 154,883 464,650 232,325 696,976 348,488 174,244 87,122 43,561 130,684 65,342 32,671 98,014 49,007 147,022 73,511 220,534 110,267 330,802 165,401 496,204 248,102 124,051 372,154 186,077 558,232 279,116 139,558 69,779 209,338 104,669 314,008 157,004 78,502 39,251 117,754 58,877 176,632 88,316 44,158 22,079 66,238 33,119 99,358 49,679 149,038 74,519 223,558

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