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Atlas › Integer Profiles › Node 9,986,319

9,986,319

32 × 7 × 293 × 541
Deficient Odd Composite

9,986,319 factors as 3^2 × 7 × 293 × 541. Its 24 positive divisors give a proper-divisor sum of 6,585,873, so this integer is deficient. The Collatz stopping time is 207 steps.

Prime Factor Structure

Factorization String 3^2 × 7 × 293 × 541
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 16,572,192
Proper Divisor Sum 6,585,873
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #9986287 ← → #9986323

Radix Representation

Decimal 9986319
Binary 100110000110000100001111 (24 bits)
Octal 0o46060417
Hexadecimal 0x98610F

Divisor Catalog (24)

1 3 7 9 21 63 293 541 879 1,623 2,051 2,637 3,787 4,869 6,153 11,361 18,459 34,083 158,513 475,539 1,109,591 1,426,617 3,328,773 9,986,319

Collatz Trajectory (207 steps to reach 1)

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

9,986,319 29,958,958 14,979,479 44,938,438 22,469,219 67,407,658 33,703,829 101,111,488 50,555,744 25,277,872 12,638,936 6,319,468 3,159,734 1,579,867 4,739,602 2,369,801 7,109,404 3,554,702 1,777,351 5,332,054 2,666,027 7,998,082 3,999,041 11,997,124 5,998,562 2,999,281 8,997,844 4,498,922 2,249,461 6,748,384 3,374,192 1,687,096 843,548 421,774 210,887 632,662 316,331 948,994 474,497 1,423,492 711,746 355,873 1,067,620 533,810 266,905 800,716 400,358 200,179 600,538 300,269 900,808 450,404 225,202 112,601 337,804 168,902 84,451 253,354 126,677 380,032

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