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Atlas › Integer Profiles › Node 32,769,700

32,769,700

22 × 52 × 672 × 73
Abundant Even Composite

32,769,700 factors as 2^2 × 5^2 × 67^2 × 73. Its 54 positive divisors give a proper-divisor sum of 40,406,606, so this integer is abundant. The Collatz stopping time is 263 steps.

Prime Factor Structure

Factorization String 2^2 × 5^2 × 67^2 × 73
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 54
Divisor Sum (σ) 73,176,306
Proper Divisor Sum 40,406,606
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #32769691 ← → #32769707

Radix Representation

Decimal 32769700
Binary 1111101000000011010100100 (25 bits)
Octal 0o175003244
Hexadecimal 0x1F406A4

Divisor Catalog (54)

1 2 4 5 10 20 25 50 67 73 100 134 146 268 292 335 365 670 730 1,340 1,460 1,675 1,825 3,350 3,650 4,489 4,891 6,700 7,300 8,978 9,782 17,956 19,564 22,445 24,455 44,890 48,910 89,780 97,820 112,225 122,275 224,450 244,550 327,697 448,900 489,100 655,394 1,310,788 1,638,485 3,276,970 6,553,940 8,192,425 16,384,850 32,769,700

Collatz Trajectory (263 steps to reach 1)

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

32,769,700 16,384,850 8,192,425 24,577,276 12,288,638 6,144,319 18,432,958 9,216,479 27,649,438 13,824,719 41,474,158 20,737,079 62,211,238 31,105,619 93,316,858 46,658,429 139,975,288 69,987,644 34,993,822 17,496,911 52,490,734 26,245,367 78,736,102 39,368,051 118,104,154 59,052,077 177,156,232 88,578,116 44,289,058 22,144,529 66,433,588 33,216,794 16,608,397 49,825,192 24,912,596 12,456,298 6,228,149 18,684,448 9,342,224 4,671,112 2,335,556 1,167,778 583,889 1,751,668 875,834 437,917 1,313,752 656,876 328,438 164,219 492,658 246,329 738,988 369,494 184,747 554,242 277,121 831,364 415,682 207,841

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