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Atlas › Integer Profiles › Node 6,042,064

6,042,064

24 × 7 × 73 × 739
Abundant Even Composite

6,042,064 factors as 2^4 × 7 × 73 × 739. Its 40 positive divisors give a proper-divisor sum of 7,538,416, so this integer is abundant. The Collatz stopping time is 183 steps.

Prime Factor Structure

Factorization String 2^4 × 7 × 73 × 739
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 13,580,480
Proper Divisor Sum 7,538,416
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #6042061 ← → #6042079

Radix Representation

Decimal 6042064
Binary 10111000011000111010000 (23 bits)
Octal 0o27030720
Hexadecimal 0x5C31D0

Divisor Catalog (40)

1 2 4 7 8 14 16 28 56 73 112 146 292 511 584 739 1,022 1,168 1,478 2,044 2,956 4,088 5,173 5,912 8,176 10,346 11,824 20,692 41,384 53,947 82,768 107,894 215,788 377,629 431,576 755,258 863,152 1,510,516 3,021,032 6,042,064

Collatz Trajectory (183 steps to reach 1)

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

6,042,064 3,021,032 1,510,516 755,258 377,629 1,132,888 566,444 283,222 141,611 424,834 212,417 637,252 318,626 159,313 477,940 238,970 119,485 358,456 179,228 89,614 44,807 134,422 67,211 201,634 100,817 302,452 151,226 75,613 226,840 113,420 56,710 28,355 85,066 42,533 127,600 63,800 31,900 15,950 7,975 23,926 11,963 35,890 17,945 53,836 26,918 13,459 40,378 20,189 60,568 30,284 15,142 7,571 22,714 11,357 34,072 17,036 8,518 4,259 12,778 6,389

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