λ
Ratio Atlas

76,546,849

76546849
Deficient Odd Prime

76,546,849 factors as 76546849. Its 2 positive divisors give a proper-divisor sum of 1, so this integer is deficient. The Collatz stopping time is 440 steps.

Prime Factor Structure

Factorization String 76546849
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 76,546,850
Proper Divisor Sum 1
Digit Sum / Digital Root 49 (Root: 4)
Adjacent Primes #76546831 ← → #76546859

Radix Representation

Decimal 76546849
Binary 100100100000000001100100001 (27 bits)
Octal 0o444001441
Hexadecimal 0x4900321

Divisor Catalog (2)

Collatz Trajectory (440 steps to reach 1)

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

76,546,849 229,640,548 114,820,274 57,410,137 172,230,412 86,115,206 43,057,603 129,172,810 64,586,405 193,759,216 96,879,608 48,439,804 24,219,902 12,109,951 36,329,854 18,164,927 54,494,782 27,247,391 81,742,174 40,871,087 122,613,262 61,306,631 183,919,894 91,959,947 275,879,842 137,939,921 413,819,764 206,909,882 103,454,941 310,364,824 155,182,412 77,591,206 38,795,603 116,386,810 58,193,405 174,580,216 87,290,108 43,645,054 21,822,527 65,467,582 32,733,791 98,201,374 49,100,687 147,302,062 73,651,031 220,953,094 110,476,547 331,429,642 165,714,821 497,144,464 248,572,232 124,286,116 62,143,058 31,071,529 93,214,588 46,607,294 23,303,647 69,910,942 34,955,471 104,866,414

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