61,377,972

2² × 3 × 5114831

61,377,972 factors as 2^2 × 3 × 5114831. Its 12 positive divisors give a proper-divisor sum of 81,837,324, so this integer is abundant. The Collatz stopping time is 251 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 5114831

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 143,215,296

Proper Divisor Sum 81,837,324

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #61377947 ← → #61377983

Radix Representation

Decimal	61377972
Binary	11101010001000110110110100 (26 bits)
Octal	0o352106664
Hexadecimal	0x3A88DB4

Divisor Catalog (12)

1 2 3 4 6 12 5,114,831 10,229,662 15,344,493 20,459,324 30,688,986 61,377,972

Collatz Trajectory (251 steps to reach 1)

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

61,377,972 30,688,986 15,344,493 46,033,480 23,016,740 11,508,370 5,754,185 17,262,556 8,631,278 4,315,639 12,946,918 6,473,459 19,420,378 9,710,189 29,130,568 14,565,284 7,282,642 3,641,321 10,923,964 5,461,982 2,730,991 8,192,974 4,096,487 12,289,462 6,144,731 18,434,194 9,217,097 27,651,292 13,825,646 6,912,823 20,738,470 10,369,235 31,107,706 15,553,853 46,661,560 23,330,780 11,665,390 5,832,695 17,498,086 8,749,043 26,247,130 13,123,565 39,370,696 19,685,348 9,842,674 4,921,337 14,764,012 7,382,006 3,691,003 11,073,010 5,536,505 16,609,516 8,304,758 4,152,379 12,457,138 6,228,569 18,685,708 9,342,854 4,671,427 14,014,282

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