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Atlas › Integer Profiles › Node 7,280,908

7,280,908

22 × 31 × 71 × 827
Deficient Even Composite

7,280,908 factors as 2^2 × 31 × 71 × 827. Its 24 positive divisors give a proper-divisor sum of 6,073,076, so this integer is deficient. The Collatz stopping time is 235 steps.

Prime Factor Structure

Factorization String 2^2 × 31 × 71 × 827
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 13,353,984
Proper Divisor Sum 6,073,076
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #7280891 ← → #7280927

Radix Representation

Decimal 7280908
Binary 11011110001100100001100 (23 bits)
Octal 0o33614414
Hexadecimal 0x6F190C

Divisor Catalog (24)

1 2 4 31 62 71 124 142 284 827 1,654 2,201 3,308 4,402 8,804 25,637 51,274 58,717 102,548 117,434 234,868 1,820,227 3,640,454 7,280,908

Collatz Trajectory (235 steps to reach 1)

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

7,280,908 3,640,454 1,820,227 5,460,682 2,730,341 8,191,024 4,095,512 2,047,756 1,023,878 511,939 1,535,818 767,909 2,303,728 1,151,864 575,932 287,966 143,983 431,950 215,975 647,926 323,963 971,890 485,945 1,457,836 728,918 364,459 1,093,378 546,689 1,640,068 820,034 410,017 1,230,052 615,026 307,513 922,540 461,270 230,635 691,906 345,953 1,037,860 518,930 259,465 778,396 389,198 194,599 583,798 291,899 875,698 437,849 1,313,548 656,774 328,387 985,162 492,581 1,477,744 738,872 369,436 184,718 92,359 277,078

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