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Atlas › Integer Profiles › Node 9,723,015

9,723,015

32 × 5 × 433 × 499
Deficient Odd Composite

9,723,015 factors as 3^2 × 5 × 433 × 499. Its 24 positive divisors give a proper-divisor sum of 7,202,985, so this integer is deficient. The Collatz stopping time is 88 steps.

Prime Factor Structure

Factorization String 3^2 × 5 × 433 × 499
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 16,926,000
Proper Divisor Sum 7,202,985
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #9723013 ← → #9723017

Radix Representation

Decimal 9723015
Binary 100101000101110010000111 (24 bits)
Octal 0o45056207
Hexadecimal 0x945C87

Divisor Catalog (24)

1 3 5 9 15 45 433 499 1,299 1,497 2,165 2,495 3,897 4,491 6,495 7,485 19,485 22,455 216,067 648,201 1,080,335 1,944,603 3,241,005 9,723,015

Collatz Trajectory (88 steps to reach 1)

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

9,723,015 29,169,046 14,584,523 43,753,570 21,876,785 65,630,356 32,815,178 16,407,589 49,222,768 24,611,384 12,305,692 6,152,846 3,076,423 9,229,270 4,614,635 13,843,906 6,921,953 20,765,860 10,382,930 5,191,465 15,574,396 7,787,198 3,893,599 11,680,798 5,840,399 17,521,198 8,760,599 26,281,798 13,140,899 39,422,698 19,711,349 59,134,048 29,567,024 14,783,512 7,391,756 3,695,878 1,847,939 5,543,818 2,771,909 8,315,728 4,157,864 2,078,932 1,039,466 519,733 1,559,200 779,600 389,800 194,900 97,450 48,725 146,176 73,088 36,544 18,272 9,136 4,568 2,284 1,142 571 1,714

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