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Atlas › Integer Profiles › Node 61,365,740

61,365,740

22 × 5 × 29 × 31 × 3413
Abundant Even Composite

61,365,740 factors as 2^2 × 5 × 29 × 31 × 3413. Its 48 positive divisors give a proper-divisor sum of 76,286,740, so this integer is abundant. The Collatz stopping time is 282 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 29 × 31 × 3413
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 137,652,480
Proper Divisor Sum 76,286,740
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #61365739 ← → #61365757

Radix Representation

Decimal 61365740
Binary 11101010000101110111101100 (26 bits)
Octal 0o352056754
Hexadecimal 0x3A85DEC

Divisor Catalog (48)

1 2 4 5 10 20 29 31 58 62 116 124 145 155 290 310 580 620 899 1,798 3,413 3,596 4,495 6,826 8,990 13,652 17,065 17,980 34,130 68,260 98,977 105,803 197,954 211,606 395,908 423,212 494,885 529,015 989,770 1,058,030 1,979,540 2,116,060 3,068,287 6,136,574 12,273,148 15,341,435 30,682,870 61,365,740

Collatz Trajectory (282 steps to reach 1)

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

61,365,740 30,682,870 15,341,435 46,024,306 23,012,153 69,036,460 34,518,230 17,259,115 51,777,346 25,888,673 77,666,020 38,833,010 19,416,505 58,249,516 29,124,758 14,562,379 43,687,138 21,843,569 65,530,708 32,765,354 16,382,677 49,148,032 24,574,016 12,287,008 6,143,504 3,071,752 1,535,876 767,938 383,969 1,151,908 575,954 287,977 863,932 431,966 215,983 647,950 323,975 971,926 485,963 1,457,890 728,945 2,186,836 1,093,418 546,709 1,640,128 820,064 410,032 205,016 102,508 51,254 25,627 76,882 38,441 115,324 57,662 28,831 86,494 43,247 129,742 64,871

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