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Atlas › Integer Profiles › Node 9,869,121

9,869,121

34 × 372 × 89
Deficient Odd Composite

9,869,121 factors as 3^4 × 37^2 × 89. Its 30 positive divisors give a proper-divisor sum of 5,453,109, so this integer is deficient. The Collatz stopping time is 220 steps.

Prime Factor Structure

Factorization String 3^4 × 37^2 × 89
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 30
Divisor Sum (σ) 15,322,230
Proper Divisor Sum 5,453,109
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #9869117 ← → #9869137

Radix Representation

Decimal 9869121
Binary 100101101001011101000001 (24 bits)
Octal 0o45513501
Hexadecimal 0x969741

Divisor Catalog (30)

1 3 9 27 37 81 89 111 267 333 801 999 1,369 2,403 2,997 3,293 4,107 7,209 9,879 12,321 29,637 36,963 88,911 110,889 121,841 266,733 365,523 1,096,569 3,289,707 9,869,121

Collatz Trajectory (220 steps to reach 1)

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

9,869,121 29,607,364 14,803,682 7,401,841 22,205,524 11,102,762 5,551,381 16,654,144 8,327,072 4,163,536 2,081,768 1,040,884 520,442 260,221 780,664 390,332 195,166 97,583 292,750 146,375 439,126 219,563 658,690 329,345 988,036 494,018 247,009 741,028 370,514 185,257 555,772 277,886 138,943 416,830 208,415 625,246 312,623 937,870 468,935 1,406,806 703,403 2,110,210 1,055,105 3,165,316 1,582,658 791,329 2,373,988 1,186,994 593,497 1,780,492 890,246 445,123 1,335,370 667,685 2,003,056 1,001,528 500,764 250,382 125,191 375,574

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