λ
Ratio Atlas

83,028,077

11 × 7548007
Deficient Odd Composite

83,028,077 factors as 11 × 7548007. Its 4 positive divisors give a proper-divisor sum of 7,548,019, so this integer is deficient. The Collatz stopping time is 329 steps.

Prime Factor Structure

Factorization String 11 × 7548007
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 90,576,096
Proper Divisor Sum 7,548,019
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #83028067 ← → #83028107

Radix Representation

Decimal 83028077
Binary 100111100101110100001101101 (27 bits)
Octal 0o474564155
Hexadecimal 0x4F2E86D

Divisor Catalog (4)

Collatz Trajectory (329 steps to reach 1)

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

83,028,077 249,084,232 124,542,116 62,271,058 31,135,529 93,406,588 46,703,294 23,351,647 70,054,942 35,027,471 105,082,414 52,541,207 157,623,622 78,811,811 236,435,434 118,217,717 354,653,152 177,326,576 88,663,288 44,331,644 22,165,822 11,082,911 33,248,734 16,624,367 49,873,102 24,936,551 74,809,654 37,404,827 112,214,482 56,107,241 168,321,724 84,160,862 42,080,431 126,241,294 63,120,647 189,361,942 94,680,971 284,042,914 142,021,457 426,064,372 213,032,186 106,516,093 319,548,280 159,774,140 79,887,070 39,943,535 119,830,606 59,915,303 179,745,910 89,872,955 269,618,866 134,809,433 404,428,300 202,214,150 101,107,075 303,321,226 151,660,613 454,981,840 227,490,920 113,745,460

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