λ
Ratio Atlas

76,564,367

11 × 239 × 29123
Deficient Odd Composite

76,564,367 factors as 11 × 239 × 29123. Its 8 positive divisors give a proper-divisor sum of 7,312,753, so this integer is deficient. The Collatz stopping time is 153 steps.

Prime Factor Structure

Factorization String 11 × 239 × 29123
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 83,877,120
Proper Divisor Sum 7,312,753
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #76564361 ← → #76564373

Radix Representation

Decimal 76564367
Binary 100100100000100011110001111 (27 bits)
Octal 0o444043617
Hexadecimal 0x490478F

Divisor Catalog (8)

Collatz Trajectory (153 steps to reach 1)

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

76,564,367 229,693,102 114,846,551 344,539,654 172,269,827 516,809,482 258,404,741 775,214,224 387,607,112 193,803,556 96,901,778 48,450,889 145,352,668 72,676,334 36,338,167 109,014,502 54,507,251 163,521,754 81,760,877 245,282,632 122,641,316 61,320,658 30,660,329 91,980,988 45,990,494 22,995,247 68,985,742 34,492,871 103,478,614 51,739,307 155,217,922 77,608,961 232,826,884 116,413,442 58,206,721 174,620,164 87,310,082 43,655,041 130,965,124 65,482,562 32,741,281 98,223,844 49,111,922 24,555,961 73,667,884 36,833,942 18,416,971 55,250,914 27,625,457 82,876,372 41,438,186 20,719,093 62,157,280 31,078,640 15,539,320 7,769,660 3,884,830 1,942,415 5,827,246 2,913,623

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