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Atlas › Integer Profiles › Node 9,765,288

9,765,288

23 × 32 × 13 × 10433
Abundant Even Composite

9,765,288 factors as 2^3 × 3^2 × 13 × 10433. Its 48 positive divisors give a proper-divisor sum of 18,719,532, so this integer is abundant. The Collatz stopping time is 62 steps.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 13 × 10433
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 28,484,820
Proper Divisor Sum 18,719,532
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #9765277 ← → #9765289

Radix Representation

Decimal 9765288
Binary 100101010000000110101000 (24 bits)
Octal 0o45200650
Hexadecimal 0x9501A8

Divisor Catalog (48)

1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 10,433 20,866 31,299 41,732 62,598 83,464 93,897 125,196 135,629 187,794 250,392 271,258 375,588 406,887 542,516 751,176 813,774 1,085,032 1,220,661 1,627,548 2,441,322 3,255,096 4,882,644 9,765,288

Collatz Trajectory (62 steps to reach 1)

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

9,765,288 4,882,644 2,441,322 1,220,661 3,661,984 1,830,992 915,496 457,748 228,874 114,437 343,312 171,656 85,828 42,914 21,457 64,372 32,186 16,093 48,280 24,140 12,070 6,035 18,106 9,053 27,160 13,580 6,790 3,395 10,186 5,093 15,280 7,640 3,820 1,910 955 2,866 1,433 4,300 2,150 1,075 3,226 1,613 4,840 2,420 1,210 605 1,816 908 454 227 682 341 1,024 512 256 128 64 32 16 8

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