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Atlas › Integer Profiles › Node 83,179,356

83,179,356

22 × 3 × 13 × 61 × 8741
Abundant Even Composite

83,179,356 factors as 2^2 × 3 × 13 × 61 × 8741. Its 48 positive divisors give a proper-divisor sum of 129,286,212, so this integer is abundant. The Collatz stopping time is 161 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 13 × 61 × 8741
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 212,465,568
Proper Divisor Sum 129,286,212
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #83179301 ← → #83179357

Radix Representation

Decimal 83179356
Binary 100111101010011011101011100 (27 bits)
Octal 0o475233534
Hexadecimal 0x4F5375C

Divisor Catalog (48)

1 2 3 4 6 12 13 26 39 52 61 78 122 156 183 244 366 732 793 1,586 2,379 3,172 4,758 8,741 9,516 17,482 26,223 34,964 52,446 104,892 113,633 227,266 340,899 454,532 533,201 681,798 1,066,402 1,363,596 1,599,603 2,132,804 3,199,206 6,398,412 6,931,613 13,863,226 20,794,839 27,726,452 41,589,678 83,179,356

Collatz Trajectory (161 steps to reach 1)

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

83,179,356 41,589,678 20,794,839 62,384,518 31,192,259 93,576,778 46,788,389 140,365,168 70,182,584 35,091,292 17,545,646 8,772,823 26,318,470 13,159,235 39,477,706 19,738,853 59,216,560 29,608,280 14,804,140 7,402,070 3,701,035 11,103,106 5,551,553 16,654,660 8,327,330 4,163,665 12,490,996 6,245,498 3,122,749 9,368,248 4,684,124 2,342,062 1,171,031 3,513,094 1,756,547 5,269,642 2,634,821 7,904,464 3,952,232 1,976,116 988,058 494,029 1,482,088 741,044 370,522 185,261 555,784 277,892 138,946 69,473 208,420 104,210 52,105 156,316 78,158 39,079 117,238 58,619 175,858 87,929

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