λ
Ratio Atlas

76,643,111

76643111
Deficient Odd Prime

76,643,111 factors as 76643111. Its 2 positive divisors give a proper-divisor sum of 1, so this integer is deficient. The Collatz stopping time is 148 steps.

Prime Factor Structure

Factorization String 76643111
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 76,643,112
Proper Divisor Sum 1
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #76643057 ← → #76643117

Radix Representation

Decimal 76643111
Binary 100100100010111101100100111 (27 bits)
Octal 0o444275447
Hexadecimal 0x4917B27

Divisor Catalog (2)

Collatz Trajectory (148 steps to reach 1)

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

76,643,111 229,929,334 114,964,667 344,894,002 172,447,001 517,341,004 258,670,502 129,335,251 388,005,754 194,002,877 582,008,632 291,004,316 145,502,158 72,751,079 218,253,238 109,126,619 327,379,858 163,689,929 491,069,788 245,534,894 122,767,447 368,302,342 184,151,171 552,453,514 276,226,757 828,680,272 414,340,136 207,170,068 103,585,034 51,792,517 155,377,552 77,688,776 38,844,388 19,422,194 9,711,097 29,133,292 14,566,646 7,283,323 21,849,970 10,924,985 32,774,956 16,387,478 8,193,739 24,581,218 12,290,609 36,871,828 18,435,914 9,217,957 27,653,872 13,826,936 6,913,468 3,456,734 1,728,367 5,185,102 2,592,551 7,777,654 3,888,827 11,666,482 5,833,241 17,499,724

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