λ
Math Directory

4,820,971

71 × 67901
Deficient Odd Composite

4,820,971 factors as 71 × 67901. Its 4 positive divisors give a proper-divisor sum of 67,973, so this integer is deficient. The Collatz stopping time is 268 steps.

Prime Factor Structure

Factorization String 71 × 67901
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 4,888,944
Proper Divisor Sum 67,973
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #4820951 ← → #4820983

Radix Representation

Decimal 4820971
Binary 10010011000111111101011 (23 bits)
Octal 0o22307753
Hexadecimal 0x498FEB

Divisor Catalog (4)

1 71 67,901 4,820,971

Collatz Trajectory (268 steps to reach 1)

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

4,820,971 14,462,914 7,231,457 21,694,372 10,847,186 5,423,593 16,270,780 8,135,390 4,067,695 12,203,086 6,101,543 18,304,630 9,152,315 27,456,946 13,728,473 41,185,420 20,592,710 10,296,355 30,889,066 15,444,533 46,333,600 23,166,800 11,583,400 5,791,700 2,895,850 1,447,925 4,343,776 2,171,888 1,085,944 542,972 271,486 135,743 407,230 203,615 610,846 305,423 916,270 458,135 1,374,406 687,203 2,061,610 1,030,805 3,092,416 1,546,208 773,104 386,552 193,276 96,638 48,319 144,958 72,479 217,438 108,719 326,158 163,079 489,238 244,619 733,858 366,929 1,100,788

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