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Atlas › Integer Profiles › Node 65,521,000

65,521,000

23 × 53 × 65521
Abundant Even Composite

65,521,000 factors as 2^3 × 5^3 × 65521. Its 32 positive divisors give a proper-divisor sum of 87,800,480, so this integer is abundant. The Collatz stopping time is 202 steps.

Prime Factor Structure

Factorization String 2^3 × 5^3 × 65521
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 153,321,480
Proper Divisor Sum 87,800,480
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #65520989 ← → #65521003

Radix Representation

Decimal 65521000
Binary 11111001111100010101101000 (26 bits)
Octal 0o371742550
Hexadecimal 0x3E7C568

Divisor Catalog (32)

1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1,000 65,521 131,042 262,084 327,605 524,168 655,210 1,310,420 1,638,025 2,620,840 3,276,050 6,552,100 8,190,125 13,104,200 16,380,250 32,760,500 65,521,000

Collatz Trajectory (202 steps to reach 1)

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

65,521,000 32,760,500 16,380,250 8,190,125 24,570,376 12,285,188 6,142,594 3,071,297 9,213,892 4,606,946 2,303,473 6,910,420 3,455,210 1,727,605 5,182,816 2,591,408 1,295,704 647,852 323,926 161,963 485,890 242,945 728,836 364,418 182,209 546,628 273,314 136,657 409,972 204,986 102,493 307,480 153,740 76,870 38,435 115,306 57,653 172,960 86,480 43,240 21,620 10,810 5,405 16,216 8,108 4,054 2,027 6,082 3,041 9,124 4,562 2,281 6,844 3,422 1,711 5,134 2,567 7,702 3,851 11,554

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