λ
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Atlas › Integer Profiles › Node 98,677,170

98,677,170

2 × 33 × 5 × 365471
Abundant Even Composite

98,677,170 factors as 2 × 3^3 × 5 × 365471. Its 32 positive divisors give a proper-divisor sum of 164,462,670, so this integer is abundant. The Collatz stopping time is 169 steps.

Prime Factor Structure

Factorization String 2 × 3^3 × 5 × 365471
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 263,139,840
Proper Divisor Sum 164,462,670
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #98677157 ← → #98677171

Radix Representation

Decimal 98677170
Binary 101111000011011000110110010 (27 bits)
Octal 0o570330662
Hexadecimal 0x5E1B1B2

Divisor Catalog (32)

1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 365,471 730,942 1,096,413 1,827,355 2,192,826 3,289,239 3,654,710 5,482,065 6,578,478 9,867,717 10,964,130 16,446,195 19,735,434 32,892,390 49,338,585 98,677,170

Collatz Trajectory (169 steps to reach 1)

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

98,677,170 49,338,585 148,015,756 74,007,878 37,003,939 111,011,818 55,505,909 166,517,728 83,258,864 41,629,432 20,814,716 10,407,358 5,203,679 15,611,038 7,805,519 23,416,558 11,708,279 35,124,838 17,562,419 52,687,258 26,343,629 79,030,888 39,515,444 19,757,722 9,878,861 29,636,584 14,818,292 7,409,146 3,704,573 11,113,720 5,556,860 2,778,430 1,389,215 4,167,646 2,083,823 6,251,470 3,125,735 9,377,206 4,688,603 14,065,810 7,032,905 21,098,716 10,549,358 5,274,679 15,824,038 7,912,019 23,736,058 11,868,029 35,604,088 17,802,044 8,901,022 4,450,511 13,351,534 6,675,767 20,027,302 10,013,651 30,040,954 15,020,477 45,061,432 22,530,716

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