λ
Ratio Atlas

83,170,799

31 × 1259 × 2131
Deficient Odd Composite

83,170,799 factors as 31 × 1259 × 2131. Its 8 positive divisors give a proper-divisor sum of 2,791,441, so this integer is deficient. The Collatz stopping time is 210 steps.

Prime Factor Structure

Factorization String 31 × 1259 × 2131
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 85,962,240
Proper Divisor Sum 2,791,441
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #83170793 ← → #83170831

Radix Representation

Decimal 83170799
Binary 100111101010001010111101111 (27 bits)
Octal 0o475212757
Hexadecimal 0x4F515EF

Divisor Catalog (8)

Collatz Trajectory (210 steps to reach 1)

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

83,170,799 249,512,398 124,756,199 374,268,598 187,134,299 561,402,898 280,701,449 842,104,348 421,052,174 210,526,087 631,578,262 315,789,131 947,367,394 473,683,697 1,421,051,092 710,525,546 355,262,773 1,065,788,320 532,894,160 266,447,080 133,223,540 66,611,770 33,305,885 99,917,656 49,958,828 24,979,414 12,489,707 37,469,122 18,734,561 56,203,684 28,101,842 14,050,921 42,152,764 21,076,382 10,538,191 31,614,574 15,807,287 47,421,862 23,710,931 71,132,794 35,566,397 106,699,192 53,349,596 26,674,798 13,337,399 40,012,198 20,006,099 60,018,298 30,009,149 90,027,448 45,013,724 22,506,862 11,253,431 33,760,294 16,880,147 50,640,442 25,320,221 75,960,664 37,980,332 18,990,166

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