λ
Ratio Atlas

8,165,753

8165753
Deficient Odd Prime

8,165,753 factors as 8165753. Its 2 positive divisors give a proper-divisor sum of 1, so this integer is deficient. The Collatz stopping time is 124 steps.

Prime Factor Structure

Factorization String 8165753
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 8,165,754
Proper Divisor Sum 1
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #8165723 ← → #8165761

Radix Representation

Decimal 8165753
Binary 11111001001100101111001 (23 bits)
Octal 0o37114571
Hexadecimal 0x7C9979

Divisor Catalog (2)

1 8,165,753

Collatz Trajectory (124 steps to reach 1)

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

8,165,753 24,497,260 12,248,630 6,124,315 18,372,946 9,186,473 27,559,420 13,779,710 6,889,855 20,669,566 10,334,783 31,004,350 15,502,175 46,506,526 23,253,263 69,759,790 34,879,895 104,639,686 52,319,843 156,959,530 78,479,765 235,439,296 117,719,648 58,859,824 29,429,912 14,714,956 7,357,478 3,678,739 11,036,218 5,518,109 16,554,328 8,277,164 4,138,582 2,069,291 6,207,874 3,103,937 9,311,812 4,655,906 2,327,953 6,983,860 3,491,930 1,745,965 5,237,896 2,618,948 1,309,474 654,737 1,964,212 982,106 491,053 1,473,160 736,580 368,290 184,145 552,436 276,218 138,109 414,328 207,164 103,582 51,791

More profiles

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