λ
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Atlas › Integer Profiles › Node 7,391,776

7,391,776

25 × 7 × 32999
Abundant Even Composite

7,391,776 factors as 2^5 × 7 × 32999. Its 24 positive divisors give a proper-divisor sum of 9,240,224, so this integer is abundant. The Collatz stopping time is 173 steps.

Prime Factor Structure

Factorization String 2^5 × 7 × 32999
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 16,632,000
Proper Divisor Sum 9,240,224
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #7391773 ← → #7391777

Radix Representation

Decimal 7391776
Binary 11100001100101000100000 (23 bits)
Octal 0o34145040
Hexadecimal 0x70CA20

Divisor Catalog (24)

1 2 4 7 8 14 16 28 32 56 112 224 32,999 65,998 131,996 230,993 263,992 461,986 527,984 923,972 1,055,968 1,847,944 3,695,888 7,391,776

Collatz Trajectory (173 steps to reach 1)

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

7,391,776 3,695,888 1,847,944 923,972 461,986 230,993 692,980 346,490 173,245 519,736 259,868 129,934 64,967 194,902 97,451 292,354 146,177 438,532 219,266 109,633 328,900 164,450 82,225 246,676 123,338 61,669 185,008 92,504 46,252 23,126 11,563 34,690 17,345 52,036 26,018 13,009 39,028 19,514 9,757 29,272 14,636 7,318 3,659 10,978 5,489 16,468 8,234 4,117 12,352 6,176 3,088 1,544 772 386 193 580 290 145 436 218

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