λ
Prime Ledger

3,120,923

132 × 59 × 313
Deficient Odd Composite

3,120,923 has the prime decomposition 13^2 × 59 × 313. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 13^2 × 59 × 313
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 3,447,720
Proper Divisor Sum 326,797
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #3120919 ← → #3120937

Radix Representation

Decimal 3120923
Binary 1011111001111100011011 (22 bits)
Octal 0o13717433
Hexadecimal 0x2F9F1B

Divisor Catalog (12)

1 13 59 169 313 767 4,069 9,971 18,467 52,897 240,071 3,120,923

Collatz Trajectory (133 steps to reach 1)

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

3,120,923 9,362,770 4,681,385 14,044,156 7,022,078 3,511,039 10,533,118 5,266,559 15,799,678 7,899,839 23,699,518 11,849,759 35,549,278 17,774,639 53,323,918 26,661,959 79,985,878 39,992,939 119,978,818 59,989,409 179,968,228 89,984,114 44,992,057 134,976,172 67,488,086 33,744,043 101,232,130 50,616,065 151,848,196 75,924,098 37,962,049 113,886,148 56,943,074 28,471,537 85,414,612 42,707,306 21,353,653 64,060,960 32,030,480 16,015,240 8,007,620 4,003,810 2,001,905 6,005,716 3,002,858 1,501,429 4,504,288 2,252,144 1,126,072 563,036 281,518 140,759 422,278 211,139 633,418 316,709 950,128 475,064 237,532 118,766

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