61,314,980

2² × 5 × 3065749

61,314,980 factors as 2^2 × 5 × 3065749. Its 12 positive divisors give a proper-divisor sum of 67,446,520, so this integer is abundant. The Collatz stopping time is 212 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 3065749

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 128,761,500

Proper Divisor Sum 67,446,520

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #61314977 ← → #61314997

Radix Representation

Decimal	61314980
Binary	11101001111001011110100100 (26 bits)
Octal	0o351713644
Hexadecimal	0x3A797A4

Divisor Catalog (12)

1 2 4 5 10 20 3,065,749 6,131,498 12,262,996 15,328,745 30,657,490 61,314,980

Collatz Trajectory (212 steps to reach 1)

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

61,314,980 30,657,490 15,328,745 45,986,236 22,993,118 11,496,559 34,489,678 17,244,839 51,734,518 25,867,259 77,601,778 38,800,889 116,402,668 58,201,334 29,100,667 87,302,002 43,651,001 130,953,004 65,476,502 32,738,251 98,214,754 49,107,377 147,322,132 73,661,066 36,830,533 110,491,600 55,245,800 27,622,900 13,811,450 6,905,725 20,717,176 10,358,588 5,179,294 2,589,647 7,768,942 3,884,471 11,653,414 5,826,707 17,480,122 8,740,061 26,220,184 13,110,092 6,555,046 3,277,523 9,832,570 4,916,285 14,748,856 7,374,428 3,687,214 1,843,607 5,530,822 2,765,411 8,296,234 4,148,117 12,444,352 6,222,176 3,111,088 1,555,544 777,772 388,886

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