λ
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Atlas › Integer Profiles › Node 83,173,012

83,173,012

22 × 132 × 61 × 2017
Deficient Even Composite

83,173,012 factors as 2^2 × 13^2 × 61 × 2017. Its 36 positive divisors give a proper-divisor sum of 77,100,584, so this integer is deficient. The Collatz stopping time is 161 steps.

Prime Factor Structure

Factorization String 2^2 × 13^2 × 61 × 2017
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 160,273,596
Proper Divisor Sum 77,100,584
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #83173007 ← → #83173019

Radix Representation

Decimal 83173012
Binary 100111101010001111010010100 (27 bits)
Octal 0o475217224
Hexadecimal 0x4F51E94

Divisor Catalog (36)

1 2 4 13 26 52 61 122 169 244 338 676 793 1,586 2,017 3,172 4,034 8,068 10,309 20,618 26,221 41,236 52,442 104,884 123,037 246,074 340,873 492,148 681,746 1,363,492 1,599,481 3,198,962 6,397,924 20,793,253 41,586,506 83,173,012

Collatz Trajectory (161 steps to reach 1)

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

83,173,012 41,586,506 20,793,253 62,379,760 31,189,880 15,594,940 7,797,470 3,898,735 11,696,206 5,848,103 17,544,310 8,772,155 26,316,466 13,158,233 39,474,700 19,737,350 9,868,675 29,606,026 14,803,013 44,409,040 22,204,520 11,102,260 5,551,130 2,775,565 8,326,696 4,163,348 2,081,674 1,040,837 3,122,512 1,561,256 780,628 390,314 195,157 585,472 292,736 146,368 73,184 36,592 18,296 9,148 4,574 2,287 6,862 3,431 10,294 5,147 15,442 7,721 23,164 11,582 5,791 17,374 8,687 26,062 13,031 39,094 19,547 58,642 29,321 87,964

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