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Atlas › Integer Profiles › Node 5,733,992

5,733,992

23 × 11 × 23 × 2833
Abundant Even Composite

5,733,992 factors as 2^3 × 11 × 23 × 2833. Its 32 positive divisors give a proper-divisor sum of 6,508,888, so this integer is abundant. The Collatz stopping time is 77 steps.

Prime Factor Structure

Factorization String 2^3 × 11 × 23 × 2833
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 12,242,880
Proper Divisor Sum 6,508,888
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #5733983 ← → #5733997

Radix Representation

Decimal 5733992
Binary 10101110111111001101000 (23 bits)
Octal 0o25677150
Hexadecimal 0x577E68

Divisor Catalog (32)

1 2 4 8 11 22 23 44 46 88 92 184 253 506 1,012 2,024 2,833 5,666 11,332 22,664 31,163 62,326 65,159 124,652 130,318 249,304 260,636 521,272 716,749 1,433,498 2,866,996 5,733,992

Collatz Trajectory (77 steps to reach 1)

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

5,733,992 2,866,996 1,433,498 716,749 2,150,248 1,075,124 537,562 268,781 806,344 403,172 201,586 100,793 302,380 151,190 75,595 226,786 113,393 340,180 170,090 85,045 255,136 127,568 63,784 31,892 15,946 7,973 23,920 11,960 5,980 2,990 1,495 4,486 2,243 6,730 3,365 10,096 5,048 2,524 1,262 631 1,894 947 2,842 1,421 4,264 2,132 1,066 533 1,600 800 400 200 100 50 25 76 38 19 58 29

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