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Atlas › Integer Profiles › Node 61,230,664

61,230,664

23 × 11 × 509 × 1367
Abundant Even Composite

61,230,664 factors as 2^3 × 11 × 509 × 1367. Its 32 positive divisors give a proper-divisor sum of 64,351,736, so this integer is abundant. The Collatz stopping time is 127 steps.

Prime Factor Structure

Factorization String 2^3 × 11 × 509 × 1367
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 125,582,400
Proper Divisor Sum 64,351,736
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #61230649 ← → #61230683

Radix Representation

Decimal 61230664
Binary 11101001100100111001001000 (26 bits)
Octal 0o351447110
Hexadecimal 0x3A64E48

Divisor Catalog (32)

1 2 4 8 11 22 44 88 509 1,018 1,367 2,036 2,734 4,072 5,468 5,599 10,936 11,198 15,037 22,396 30,074 44,792 60,148 120,296 695,803 1,391,606 2,783,212 5,566,424 7,653,833 15,307,666 30,615,332 61,230,664

Collatz Trajectory (127 steps to reach 1)

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

61,230,664 30,615,332 15,307,666 7,653,833 22,961,500 11,480,750 5,740,375 17,221,126 8,610,563 25,831,690 12,915,845 38,747,536 19,373,768 9,686,884 4,843,442 2,421,721 7,265,164 3,632,582 1,816,291 5,448,874 2,724,437 8,173,312 4,086,656 2,043,328 1,021,664 510,832 255,416 127,708 63,854 31,927 95,782 47,891 143,674 71,837 215,512 107,756 53,878 26,939 80,818 40,409 121,228 60,614 30,307 90,922 45,461 136,384 68,192 34,096 17,048 8,524 4,262 2,131 6,394 3,197 9,592 4,796 2,398 1,199 3,598 1,799

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