λ
Ratio Atlas

7,403,167

7403167
Deficient Odd Prime

7,403,167 factors as 7403167. Its 2 positive divisors give a proper-divisor sum of 1, so this integer is deficient. The Collatz stopping time is 142 steps.

Prime Factor Structure

Factorization String 7403167
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 7,403,168
Proper Divisor Sum 1
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #7403153 ← → #7403183

Radix Representation

Decimal 7403167
Binary 11100001111011010011111 (23 bits)
Octal 0o34173237
Hexadecimal 0x70F69F

Divisor Catalog (2)

Collatz Trajectory (142 steps to reach 1)

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

7,403,167 22,209,502 11,104,751 33,314,254 16,657,127 49,971,382 24,985,691 74,957,074 37,478,537 112,435,612 56,217,806 28,108,903 84,326,710 42,163,355 126,490,066 63,245,033 189,735,100 94,867,550 47,433,775 142,301,326 71,150,663 213,451,990 106,725,995 320,177,986 160,088,993 480,266,980 240,133,490 120,066,745 360,200,236 180,100,118 90,050,059 270,150,178 135,075,089 405,225,268 202,612,634 101,306,317 303,918,952 151,959,476 75,979,738 37,989,869 113,969,608 56,984,804 28,492,402 14,246,201 42,738,604 21,369,302 10,684,651 32,053,954 16,026,977 48,080,932 24,040,466 12,020,233 36,060,700 18,030,350 9,015,175 27,045,526 13,522,763 40,568,290 20,284,145 60,852,436

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