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Atlas › Integer Profiles › Node 61,046,500

61,046,500

22 × 53 × 83 × 1471
Abundant Even Composite

61,046,500 factors as 2^2 × 5^3 × 83 × 1471. Its 48 positive divisors give a proper-divisor sum of 73,977,116, so this integer is abundant. The Collatz stopping time is 127 steps.

Prime Factor Structure

Factorization String 2^2 × 5^3 × 83 × 1471
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 135,023,616
Proper Divisor Sum 73,977,116
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #61046497 ← → #61046509

Radix Representation

Decimal 61046500
Binary 11101000110111111011100100 (26 bits)
Octal 0o350677344
Hexadecimal 0x3A37EE4

Divisor Catalog (48)

1 2 4 5 10 20 25 50 83 100 125 166 250 332 415 500 830 1,471 1,660 2,075 2,942 4,150 5,884 7,355 8,300 10,375 14,710 20,750 29,420 36,775 41,500 73,550 122,093 147,100 183,875 244,186 367,750 488,372 610,465 735,500 1,220,930 2,441,860 3,052,325 6,104,650 12,209,300 15,261,625 30,523,250 61,046,500

Collatz Trajectory (127 steps to reach 1)

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

61,046,500 30,523,250 15,261,625 45,784,876 22,892,438 11,446,219 34,338,658 17,169,329 51,507,988 25,753,994 12,876,997 38,630,992 19,315,496 9,657,748 4,828,874 2,414,437 7,243,312 3,621,656 1,810,828 905,414 452,707 1,358,122 679,061 2,037,184 1,018,592 509,296 254,648 127,324 63,662 31,831 95,494 47,747 143,242 71,621 214,864 107,432 53,716 26,858 13,429 40,288 20,144 10,072 5,036 2,518 1,259 3,778 1,889 5,668 2,834 1,417 4,252 2,126 1,063 3,190 1,595 4,786 2,393 7,180 3,590 1,795

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