λ
Math Directory

7,772,059

7772059
Deficient Odd Prime

7,772,059 factors as 7772059. Its 2 positive divisors give a proper-divisor sum of 1, so this integer is deficient. The Collatz stopping time is 178 steps.

Prime Factor Structure

Factorization String 7772059
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 7,772,060
Proper Divisor Sum 1
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #7772057 ← → #7772101

Radix Representation

Decimal 7772059
Binary 11101101001011110011011 (23 bits)
Octal 0o35513633
Hexadecimal 0x76979B

Divisor Catalog (2)

Collatz Trajectory (178 steps to reach 1)

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

7,772,059 23,316,178 11,658,089 34,974,268 17,487,134 8,743,567 26,230,702 13,115,351 39,346,054 19,673,027 59,019,082 29,509,541 88,528,624 44,264,312 22,132,156 11,066,078 5,533,039 16,599,118 8,299,559 24,898,678 12,449,339 37,348,018 18,674,009 56,022,028 28,011,014 14,005,507 42,016,522 21,008,261 63,024,784 31,512,392 15,756,196 7,878,098 3,939,049 11,817,148 5,908,574 2,954,287 8,862,862 4,431,431 13,294,294 6,647,147 19,941,442 9,970,721 29,912,164 14,956,082 7,478,041 22,434,124 11,217,062 5,608,531 16,825,594 8,412,797 25,238,392 12,619,196 6,309,598 3,154,799 9,464,398 4,732,199 14,196,598 7,098,299 21,294,898 10,647,449

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