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Atlas › Integer Profiles › Node 9,752,010

9,752,010

2 × 3 × 5 × 173 × 1879
Abundant Even Composite

9,752,010 factors as 2 × 3 × 5 × 173 × 1879. Its 32 positive divisors give a proper-divisor sum of 13,800,630, so this integer is abundant. The Collatz stopping time is 207 steps.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 173 × 1879
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 23,552,640
Proper Divisor Sum 13,800,630
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #9752003 ← → #9752021

Radix Representation

Decimal 9752010
Binary 100101001100110111001010 (24 bits)
Octal 0o45146712
Hexadecimal 0x94CDCA

Divisor Catalog (32)

1 2 3 5 6 10 15 30 173 346 519 865 1,038 1,730 1,879 2,595 3,758 5,190 5,637 9,395 11,274 18,790 28,185 56,370 325,067 650,134 975,201 1,625,335 1,950,402 3,250,670 4,876,005 9,752,010

Collatz Trajectory (207 steps to reach 1)

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

9,752,010 4,876,005 14,628,016 7,314,008 3,657,004 1,828,502 914,251 2,742,754 1,371,377 4,114,132 2,057,066 1,028,533 3,085,600 1,542,800 771,400 385,700 192,850 96,425 289,276 144,638 72,319 216,958 108,479 325,438 162,719 488,158 244,079 732,238 366,119 1,098,358 549,179 1,647,538 823,769 2,471,308 1,235,654 617,827 1,853,482 926,741 2,780,224 1,390,112 695,056 347,528 173,764 86,882 43,441 130,324 65,162 32,581 97,744 48,872 24,436 12,218 6,109 18,328 9,164 4,582 2,291 6,874 3,437 10,312

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