61,322,940

2² × 3³ × 5 × 7 × 16223

61,322,940 factors as 2^2 × 3^3 × 5 × 7 × 16223. Its 96 positive divisors give a proper-divisor sum of 156,727,620, so this integer is abundant. The Collatz stopping time is 189 steps.

Prime Factor Structure

Factorization String 2^2 × 3^3 × 5 × 7 × 16223

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 218,050,560

Proper Divisor Sum 156,727,620

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #61322939 ← → #61322951

Radix Representation

Decimal	61322940
Binary	11101001111011011010111100 (26 bits)
Octal	0o351733274
Hexadecimal	0x3A7B6BC

Divisor Catalog (60 of 96)

1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 84 90 105 108 126 135 140 180 189 210 252 270 315 378 420 540 630 756 945 1,260 1,890 3,780 16,223 32,446 48,669 64,892 81,115 97,338 113,561 146,007 162,230 194,676 227,122 243,345

Collatz Trajectory (189 steps to reach 1)

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

61,322,940 30,661,470 15,330,735 45,992,206 22,996,103 68,988,310 34,494,155 103,482,466 51,741,233 155,223,700 77,611,850 38,805,925 116,417,776 58,208,888 29,104,444 14,552,222 7,276,111 21,828,334 10,914,167 32,742,502 16,371,251 49,113,754 24,556,877 73,670,632 36,835,316 18,417,658 9,208,829 27,626,488 13,813,244 6,906,622 3,453,311 10,359,934 5,179,967 15,539,902 7,769,951 23,309,854 11,654,927 34,964,782 17,482,391 52,447,174 26,223,587 78,670,762 39,335,381 118,006,144 59,003,072 29,501,536 14,750,768 7,375,384 3,687,692 1,843,846 921,923 2,765,770 1,382,885 4,148,656 2,074,328 1,037,164 518,582 259,291 777,874 388,937

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