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Atlas › Integer Profiles › Node 7,979,985

7,979,985

33 × 5 × 13 × 4547
Deficient Odd Composite

7,979,985 factors as 3^3 × 5 × 13 × 4547. Its 32 positive divisors give a proper-divisor sum of 7,301,295, so this integer is deficient. The Collatz stopping time is 116 steps.

Prime Factor Structure

Factorization String 3^3 × 5 × 13 × 4547
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 15,281,280
Proper Divisor Sum 7,301,295
Digit Sum / Digital Root 54 (Root: 9)
Adjacent Primes #7979969 ← → #7980013

Radix Representation

Decimal 7979985
Binary 11110011100001111010001 (23 bits)
Octal 0o36341721
Hexadecimal 0x79C3D1

Divisor Catalog (32)

1 3 5 9 13 15 27 39 45 65 117 135 195 351 585 1,755 4,547 13,641 22,735 40,923 59,111 68,205 122,769 177,333 204,615 295,555 531,999 613,845 886,665 1,595,997 2,659,995 7,979,985

Collatz Trajectory (116 steps to reach 1)

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

7,979,985 23,939,956 11,969,978 5,984,989 17,954,968 8,977,484 4,488,742 2,244,371 6,733,114 3,366,557 10,099,672 5,049,836 2,524,918 1,262,459 3,787,378 1,893,689 5,681,068 2,840,534 1,420,267 4,260,802 2,130,401 6,391,204 3,195,602 1,597,801 4,793,404 2,396,702 1,198,351 3,595,054 1,797,527 5,392,582 2,696,291 8,088,874 4,044,437 12,133,312 6,066,656 3,033,328 1,516,664 758,332 379,166 189,583 568,750 284,375 853,126 426,563 1,279,690 639,845 1,919,536 959,768 479,884 239,942 119,971 359,914 179,957 539,872 269,936 134,968 67,484 33,742 16,871 50,614

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