λ
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Atlas › Integer Profiles › Node 7,322,440

7,322,440

23 × 5 × 61 × 3001
Abundant Even Composite

7,322,440 factors as 2^3 × 5 × 61 × 3001. Its 32 positive divisors give a proper-divisor sum of 9,428,720, so this integer is abundant. The Collatz stopping time is 173 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 61 × 3001
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 16,751,160
Proper Divisor Sum 9,428,720
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #7322437 ← → #7322489

Radix Representation

Decimal 7322440
Binary 11011111011101101001000 (23 bits)
Octal 0o33735510
Hexadecimal 0x6FBB48

Divisor Catalog (32)

1 2 4 5 8 10 20 40 61 122 244 305 488 610 1,220 2,440 3,001 6,002 12,004 15,005 24,008 30,010 60,020 120,040 183,061 366,122 732,244 915,305 1,464,488 1,830,610 3,661,220 7,322,440

Collatz Trajectory (173 steps to reach 1)

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

7,322,440 3,661,220 1,830,610 915,305 2,745,916 1,372,958 686,479 2,059,438 1,029,719 3,089,158 1,544,579 4,633,738 2,316,869 6,950,608 3,475,304 1,737,652 868,826 434,413 1,303,240 651,620 325,810 162,905 488,716 244,358 122,179 366,538 183,269 549,808 274,904 137,452 68,726 34,363 103,090 51,545 154,636 77,318 38,659 115,978 57,989 173,968 86,984 43,492 21,746 10,873 32,620 16,310 8,155 24,466 12,233 36,700 18,350 9,175 27,526 13,763 41,290 20,645 61,936 30,968 15,484 7,742

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