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Atlas › Integer Profiles › Node 7,149,296

7,149,296

24 × 72 × 11 × 829
Abundant Even Composite

7,149,296 factors as 2^4 × 7^2 × 11 × 829. Its 60 positive divisors give a proper-divisor sum of 10,450,024, so this integer is abundant. The Collatz stopping time is 98 steps.

Prime Factor Structure

Factorization String 2^4 × 7^2 × 11 × 829
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 60
Divisor Sum (σ) 17,599,320
Proper Divisor Sum 10,450,024
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #7149277 ← → #7149347

Radix Representation

Decimal 7149296
Binary 11011010001011011110000 (23 bits)
Octal 0o33213360
Hexadecimal 0x6D16F0

Divisor Catalog (60)

1 2 4 7 8 11 14 16 22 28 44 49 56 77 88 98 112 154 176 196 308 392 539 616 784 829 1,078 1,232 1,658 2,156 3,316 4,312 5,803 6,632 8,624 9,119 11,606 13,264 18,238 23,212 36,476 40,621 46,424 63,833 72,952 81,242 92,848 127,666 145,904 162,484 255,332 324,968 446,831 510,664 649,936 893,662 1,021,328 1,787,324 3,574,648 7,149,296

Collatz Trajectory (98 steps to reach 1)

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

7,149,296 3,574,648 1,787,324 893,662 446,831 1,340,494 670,247 2,010,742 1,005,371 3,016,114 1,508,057 4,524,172 2,262,086 1,131,043 3,393,130 1,696,565 5,089,696 2,544,848 1,272,424 636,212 318,106 159,053 477,160 238,580 119,290 59,645 178,936 89,468 44,734 22,367 67,102 33,551 100,654 50,327 150,982 75,491 226,474 113,237 339,712 169,856 84,928 42,464 21,232 10,616 5,308 2,654 1,327 3,982 1,991 5,974 2,987 8,962 4,481 13,444 6,722 3,361 10,084 5,042 2,521 7,564

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