λ
Ratio Atlas

4,920,873

3 × 23 × 71317
Deficient Odd Composite

4,920,873 factors as 3 × 23 × 71317. Its 8 positive divisors give a proper-divisor sum of 1,925,655, so this integer is deficient. The Collatz stopping time is 167 steps.

Prime Factor Structure

Factorization String 3 × 23 × 71317
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 6,846,528
Proper Divisor Sum 1,925,655
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #4920841 ← → #4920887

Radix Representation

Decimal 4920873
Binary 10010110001011000101001 (23 bits)
Octal 0o22613051
Hexadecimal 0x4B1629

Divisor Catalog (8)

1 3 23 69 71,317 213,951 1,640,291 4,920,873

Collatz Trajectory (167 steps to reach 1)

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

4,920,873 14,762,620 7,381,310 3,690,655 11,071,966 5,535,983 16,607,950 8,303,975 24,911,926 12,455,963 37,367,890 18,683,945 56,051,836 28,025,918 14,012,959 42,038,878 21,019,439 63,058,318 31,529,159 94,587,478 47,293,739 141,881,218 70,940,609 212,821,828 106,410,914 53,205,457 159,616,372 79,808,186 39,904,093 119,712,280 59,856,140 29,928,070 14,964,035 44,892,106 22,446,053 67,338,160 33,669,080 16,834,540 8,417,270 4,208,635 12,625,906 6,312,953 18,938,860 9,469,430 4,734,715 14,204,146 7,102,073 21,306,220 10,653,110 5,326,555 15,979,666 7,989,833 23,969,500 11,984,750 5,992,375 17,977,126 8,988,563 26,965,690 13,482,845 40,448,536

More profiles

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